Abstract group data - 4200.o

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• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '120.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 420, 'aut_gen_orders': [28, 30, 6, 12, 12, 28, 14], 'aut_gens': [[1, 120], [1259, 2640], [539, 3120], [3659, 2880], [373, 2760], [2563, 2040], [2269, 960], [4069, 3480]], 'aut_group': None, 'aut_hash': 1713921373283272042, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 26880, 'aut_permdeg': 146, 'aut_perms': [27327507077808166340904620113717602822339456339813189497539763384193513649709320055198267630915093057224169381677773982664811166285990292182887871570546232673704948711073691290249953419160092662327160307363329559856959333700481399948967198581585032491563, 16442182010430093492814323628300080919206004951580524308385344313346506683228830355613282543023494537987351091766623934847012176518995580599454097496539380134243428285614460420833917050943076636424287597673783492133160702927901168930276372932360599862607, 103039676664946325414521225739773319789457210035602882775403731070026534627847153084215957513127751697421375677129348393164879889540642399961212240318123703938167583639423753587916035492757558625373927959392344285069193454722172702784344198429017893735579, 59134287927417643549489644962664872422950940531585488103846795044614314139683761763652752163262084438730247736028820478001969241180569262744691290012714146637551866151118674327472484392596601286880285138333682307816442045960531843994326656273145243775969, 82580188842327126339322766337092108373436530378279404457449261876427887158926620605585130756628989597701907870480131909595930500221538546293953161386317807007442514885910428774925236108989292702461340866303971243191125839643048294837415053728349160791568, 94298499635882168900445588036840031572804194744043023404746148550139990329212738988426449852953046279826934224906591602878167159909648700385139180027503484720712036917648847086873570429715282638255303794490880198842505842964743503978223099118541933331770, 31704895294623023097880882468589924573347173949509848334512613208874437384560494458658421534251994723203046984609479123319145071048627425981526588381980104750738129307550875414030591702281701373832421226585142248503511607689548425314904446408433742502221], 'aut_phi_ratio': 28.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [4, 1, 2, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 8, 1], [6, 1, 2, 1], [7, 2, 3, 1], [8, 35, 4, 1], [10, 1, 4, 1], [10, 2, 2, 1], [10, 2, 8, 1], [12, 1, 4, 1], [14, 2, 3, 1], [15, 1, 8, 1], [15, 2, 4, 1], [15, 2, 16, 1], [20, 1, 8, 1], [20, 2, 4, 1], [20, 2, 16, 1], [21, 2, 6, 1], [24, 35, 8, 1], [28, 2, 6, 1], [30, 1, 8, 1], [30, 2, 4, 1], [30, 2, 16, 1], [35, 2, 12, 2], [35, 2, 48, 1], [40, 35, 16, 1], [42, 2, 6, 1], [60, 1, 16, 1], [60, 2, 8, 1], [60, 2, 32, 1], [70, 2, 12, 2], [70, 2, 48, 1], [84, 2, 12, 1], [105, 2, 24, 2], [105, 2, 96, 1], [120, 35, 32, 1], [140, 2, 24, 2], [140, 2, 96, 1], [210, 2, 24, 2], [210, 2, 96, 1], [420, 2, 48, 2], [420, 2, 192, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^3\\times C_4\\times F_5\\times F_7', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.45', 'autcent_hash': 45, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 420, 'autcentquo_group': '840.139', 'autcentquo_hash': 139, 'autcentquo_nilpotent': False, 'autcentquo_order': 840, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_5\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 1, 2], [4, 1, 2], [5, 1, 4], [5, 2, 10], [6, 1, 2], [7, 2, 3], [8, 35, 4], [10, 1, 4], [10, 2, 10], [12, 1, 4], [14, 2, 3], [15, 1, 8], [15, 2, 20], [20, 1, 8], [20, 2, 20], [21, 2, 6], [24, 35, 8], [28, 2, 6], [30, 1, 8], [30, 2, 20], [35, 2, 72], [40, 35, 16], [42, 2, 6], [60, 1, 16], [60, 2, 40], [70, 2, 72], [84, 2, 12], [105, 2, 144], [120, 35, 32], [140, 2, 144], [210, 2, 144], [420, 2, 288]], 'center_label': '60.4', 'center_order': 60, 'central_product': True, 'central_quotient': '70.3', 'commutator_count': 1, 'commutator_label': '35.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '5.1', '5.1', '7.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 15, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['280.3', 1], ['3.1', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [4, 1, 2, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 4, 2], [6, 1, 2, 1], [7, 2, 3, 1], [8, 35, 4, 1], [10, 1, 4, 1], [10, 2, 2, 1], [10, 2, 4, 2], [12, 1, 4, 1], [14, 2, 3, 1], [15, 1, 8, 1], [15, 2, 4, 1], [15, 2, 8, 2], [20, 1, 8, 1], [20, 2, 4, 1], [20, 2, 8, 2], [21, 2, 6, 1], [24, 35, 8, 1], [28, 2, 6, 1], [30, 1, 8, 1], [30, 2, 4, 1], [30, 2, 8, 2], [35, 2, 12, 2], [35, 2, 24, 2], [40, 35, 16, 1], [42, 2, 6, 1], [60, 1, 16, 1], [60, 2, 8, 1], [60, 2, 16, 2], [70, 2, 12, 2], [70, 2, 24, 2], [84, 2, 12, 1], [105, 2, 24, 2], [105, 2, 48, 2], [120, 35, 32, 1], [140, 2, 24, 2], [140, 2, 48, 2], [210, 2, 24, 2], [210, 2, 48, 2], [420, 2, 48, 2], [420, 2, 96, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 288, 'exponent': 840, 'exponents_of_order': [3, 2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 3, 5, 7], 'faithful_reps': [[2, 0, 192]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '1050.31', 'hash': 3605652675087346187, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 70, 'inner_gen_orders': [2, 35], 'inner_gens': [[1, 4080], [241, 120]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 70, 'inner_split': True, 'inner_tex': 'D_{35}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 192, 'irrQ_dim': 192, 'irrR_degree': None, 'irrep_stats': [[1, 120], [2, 1020]], 'label': '4200.o', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C35:C120', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 52, 'number_characteristic_subgroups': 52, 'number_conjugacy_classes': 1140, 'number_divisions': 64, 'number_normal_subgroups': 52, 'number_subgroup_autclasses': 76, 'number_subgroup_classes': 88, 'number_subgroups': 288, 'old_label': None, 'order': 4200, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 1], [3, 2], [4, 2], [5, 24], [6, 2], [7, 6], [8, 140], [10, 24], [12, 4], [14, 6], [15, 48], [20, 48], [21, 12], [24, 280], [28, 12], [30, 48], [35, 144], [40, 560], [42, 12], [60, 96], [70, 144], [84, 24], [105, 288], [120, 1120], [140, 288], [210, 288], [420, 576]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 4, 12], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[91, 120], [61, 120], [41, 120], [1, 2640], [47, 360]], 'outer_group': '384.19878', 'outer_hash': 19878, 'outer_nilpotent': True, 'outer_order': 384, 'outer_permdeg': 17, 'outer_perms': [20922789888000, 479001600, 87178291200, 864, 21010451213667], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_4\\times C_{12}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 28, 'pgroup': 0, 'primary_abelian_invariants': [8, 3, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 6], [6, 2], [8, 11], [12, 3], [16, 9], [24, 5], [32, 3], [48, 10], [96, 8], [192, 2]], 'representations': {'PC': {'code': '1032505579665446479890739142834439131', 'gens': [1, 6], 'pres': [7, -2, -2, -2, -3, -5, -5, -7, 14, 36, 58, 108, 171365, 250, 176406]}, 'GLFp': {'d': 2, 'p': 421, 'gens': [14401362975, 9327307689, 231129]}, 'Perm': {'d': 28, 'gens': [11727096416380429380663575797, 262560264741663892, 23003126742653342006645589847]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [120], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{35}:C_{120}', 'transitive_degree': 840, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 107519312
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 15, 'group_order': 4200, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 107519564
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 15, 'group_order': 4200, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 60, 'size': 1}
  • id: 107519675
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 15, 'group_order': 4200, 'label': '3A1', 'order': 3, 'powers': [4, 1, 4, 3], 'representative': 40, 'size': 1}
  • id: 107519786
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 15, 'group_order': 4200, 'label': '3A-1', 'order': 3, 'powers': [3, 1, 3, 4], 'representative': 80, 'size': 1}
  • id: 107519897
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 15, 'group_order': 4200, 'label': '4A1', 'order': 4, 'powers': [2, 6, 5, 6], 'representative': 30, 'size': 1}
  • id: 107520008
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 15, 'group_order': 4200, 'label': '4A-1', 'order': 4, 'powers': [2, 5, 6, 5], 'representative': 90, 'size': 1}
  • id: 107520119
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 15, 'group_order': 4200, 'label': '5A1', 'order': 5, 'powers': [9, 10, 1, 9], 'representative': 24, 'size': 1}
  • id: 107520230
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 15, 'group_order': 4200, 'label': '5A-1', 'order': 5, 'powers': [10, 9, 1, 10], 'representative': 96, 'size': 1}
  • id: 107520341
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 15, 'group_order': 4200, 'label': '5A2', 'order': 5, 'powers': [8, 7, 1, 8], 'representative': 48, 'size': 1}
  • id: 107519313
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 15, 'group_order': 4200, 'label': '5A-2', 'order': 5, 'powers': [7, 8, 1, 7], 'representative': 72, 'size': 1}
  • id: 107519424
    {'aut_label': '5B1', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 15, 'group_order': 4200, 'label': '5B1', 'order': 5, 'powers': [12, 12, 1, 12], 'representative': 1680, 'size': 2}
  • id: 107519476
    {'aut_label': '5B1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 15, 'group_order': 4200, 'label': '5B2', 'order': 5, 'powers': [11, 11, 1, 11], 'representative': 3360, 'size': 2}
  • id: 107519487
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 15, 'group_order': 4200, 'label': '5C1', 'order': 5, 'powers': [15, 16, 1, 15], 'representative': 1728, 'size': 2}
  • id: 107519498
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 15, 'group_order': 4200, 'label': '5C-1', 'order': 5, 'powers': [16, 15, 1, 16], 'representative': 2592, 'size': 2}
  • id: 107519509
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 15, 'group_order': 4200, 'label': '5C2', 'order': 5, 'powers': [14, 13, 1, 14], 'representative': 3456, 'size': 2}
  • id: 107519520
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 15, 'group_order': 4200, 'label': '5C-2', 'order': 5, 'powers': [13, 14, 1, 13], 'representative': 864, 'size': 2}
  • id: 107519531
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 15, 'group_order': 4200, 'label': '5D1', 'order': 5, 'powers': [19, 20, 1, 19], 'representative': 3408, 'size': 2}
  • id: 107519542
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 15, 'group_order': 4200, 'label': '5D-1', 'order': 5, 'powers': [20, 19, 1, 20], 'representative': 912, 'size': 2}
  • id: 107519553
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 15, 'group_order': 4200, 'label': '5D2', 'order': 5, 'powers': [18, 17, 1, 18], 'representative': 2616, 'size': 2}
  • id: 107519565
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 15, 'group_order': 4200, 'label': '5D-2', 'order': 5, 'powers': [17, 18, 1, 17], 'representative': 1704, 'size': 2}
  • id: 107519576
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 15, 'group_order': 4200, 'label': '6A1', 'order': 6, 'powers': [3, 2, 22, 21], 'representative': 20, 'size': 1}
  • id: 107519587
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 15, 'group_order': 4200, 'label': '6A-1', 'order': 6, 'powers': [4, 2, 21, 22], 'representative': 100, 'size': 1}
  • id: 107519598
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 15, 'group_order': 4200, 'label': '7A1', 'order': 7, 'powers': [24, 25, 24, 1], 'representative': 2400, 'size': 2}
  • id: 107519609
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 15, 'group_order': 4200, 'label': '7A2', 'order': 7, 'powers': [25, 23, 25, 1], 'representative': 600, 'size': 2}
  • id: 107519620
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 15, 'group_order': 4200, 'label': '7A3', 'order': 7, 'powers': [23, 24, 23, 1], 'representative': 3000, 'size': 2}
  • id: 107519631
    {'aut_label': '8A1', 'centralizer': '35.a1.a1', 'counter': 26, 'group_counter': 15, 'group_order': 4200, 'label': '8A1', 'order': 8, 'powers': [5, 28, 29, 27], 'representative': 15, 'size': 35}
  • id: 107519642
    {'aut_label': '8A1', 'centralizer': '35.a1.a1', 'counter': 27, 'group_counter': 15, 'group_order': 4200, 'label': '8A-1', 'order': 8, 'powers': [6, 29, 28, 26], 'representative': 105, 'size': 35}
  • id: 107519653
    {'aut_label': '8A1', 'centralizer': '35.a1.a1', 'counter': 28, 'group_counter': 15, 'group_order': 4200, 'label': '8A3', 'order': 8, 'powers': [6, 26, 27, 29], 'representative': 45, 'size': 35}
  • id: 107519664
    {'aut_label': '8A1', 'centralizer': '35.a1.a1', 'counter': 29, 'group_counter': 15, 'group_order': 4200, 'label': '8A-3', 'order': 8, 'powers': [5, 27, 26, 28], 'representative': 75, 'size': 35}
  • id: 107519676
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 15, 'group_order': 4200, 'label': '10A1', 'order': 10, 'powers': [7, 32, 2, 33], 'representative': 12, 'size': 1}
  • id: 107519687
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 15, 'group_order': 4200, 'label': '10A-1', 'order': 10, 'powers': [8, 33, 2, 32], 'representative': 108, 'size': 1}
  • id: 107519698
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 15, 'group_order': 4200, 'label': '10A3', 'order': 10, 'powers': [10, 31, 2, 30], 'representative': 36, 'size': 1}
  • id: 107519709
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 15, 'group_order': 4200, 'label': '10A-3', 'order': 10, 'powers': [9, 30, 2, 31], 'representative': 84, 'size': 1}
  • id: 107519720
    {'aut_label': '10B1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 15, 'group_order': 4200, 'label': '10B1', 'order': 10, 'powers': [11, 35, 2, 35], 'representative': 900, 'size': 2}
  • id: 107519731
    {'aut_label': '10B1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 15, 'group_order': 4200, 'label': '10B3', 'order': 10, 'powers': [12, 34, 2, 34], 'representative': 2580, 'size': 2}
  • id: 107519742
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 15, 'group_order': 4200, 'label': '10C1', 'order': 10, 'powers': [13, 38, 2, 39], 'representative': 924, 'size': 2}
  • id: 107519753
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 15, 'group_order': 4200, 'label': '10C-1', 'order': 10, 'powers': [14, 39, 2, 38], 'representative': 3396, 'size': 2}
  • id: 107519764
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 15, 'group_order': 4200, 'label': '10C3', 'order': 10, 'powers': [16, 37, 2, 36], 'representative': 2532, 'size': 2}
  • id: 107519775
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 15, 'group_order': 4200, 'label': '10C-3', 'order': 10, 'powers': [15, 36, 2, 37], 'representative': 1788, 'size': 2}
  • id: 107519787
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 15, 'group_order': 4200, 'label': '10D1', 'order': 10, 'powers': [17, 42, 2, 43], 'representative': 1764, 'size': 2}
  • id: 107519798
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 15, 'group_order': 4200, 'label': '10D-1', 'order': 10, 'powers': [18, 43, 2, 42], 'representative': 2556, 'size': 2}
  • id: 107519809
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 15, 'group_order': 4200, 'label': '10D3', 'order': 10, 'powers': [20, 41, 2, 40], 'representative': 852, 'size': 2}
  • id: 107519820
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 15, 'group_order': 4200, 'label': '10D-3', 'order': 10, 'powers': [19, 40, 2, 41], 'representative': 3468, 'size': 2}
  • id: 107519831
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 15, 'group_order': 4200, 'label': '12A1', 'order': 12, 'powers': [21, 5, 46, 47], 'representative': 10, 'size': 1}
  • id: 107519842
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 15, 'group_order': 4200, 'label': '12A-1', 'order': 12, 'powers': [22, 6, 47, 46], 'representative': 110, 'size': 1}
  • id: 107519853
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 15, 'group_order': 4200, 'label': '12A5', 'order': 12, 'powers': [22, 5, 44, 45], 'representative': 50, 'size': 1}
  • id: 107519864
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 15, 'group_order': 4200, 'label': '12A-5', 'order': 12, 'powers': [21, 6, 45, 44], 'representative': 70, 'size': 1}
  • id: 107519875
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 15, 'group_order': 4200, 'label': '14A1', 'order': 14, 'powers': [23, 49, 50, 2], 'representative': 1260, 'size': 2}
  • id: 107519886
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 15, 'group_order': 4200, 'label': '14A3', 'order': 14, 'powers': [25, 50, 48, 2], 'representative': 3660, 'size': 2}
  • id: 107519898
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 15, 'group_order': 4200, 'label': '14A5', 'order': 14, 'powers': [24, 48, 49, 2], 'representative': 1860, 'size': 2}
  • id: 107519909
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 15, 'group_order': 4200, 'label': '15A1', 'order': 15, 'powers': [53, 7, 3, 57], 'representative': 8, 'size': 1}
  • id: 107519920
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 15, 'group_order': 4200, 'label': '15A-1', 'order': 15, 'powers': [54, 8, 4, 58], 'representative': 112, 'size': 1}
  • id: 107519931
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 15, 'group_order': 4200, 'label': '15A2', 'order': 15, 'powers': [55, 9, 4, 52], 'representative': 16, 'size': 1}
  • id: 107519942
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 15, 'group_order': 4200, 'label': '15A-2', 'order': 15, 'powers': [56, 10, 3, 51], 'representative': 104, 'size': 1}
  • id: 107519953
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 15, 'group_order': 4200, 'label': '15A4', 'order': 15, 'powers': [58, 8, 3, 54], 'representative': 32, 'size': 1}
  • id: 107519964
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 15, 'group_order': 4200, 'label': '15A-4', 'order': 15, 'powers': [57, 7, 4, 53], 'representative': 88, 'size': 1}
  • id: 107519975
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 15, 'group_order': 4200, 'label': '15A7', 'order': 15, 'powers': [52, 9, 3, 55], 'representative': 56, 'size': 1}
  • id: 107519986
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 15, 'group_order': 4200, 'label': '15A-7', 'order': 15, 'powers': [51, 10, 4, 56], 'representative': 64, 'size': 1}
  • id: 107519997
    {'aut_label': '15B1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 15, 'group_order': 4200, 'label': '15B1', 'order': 15, 'powers': [61, 11, 4, 62], 'representative': 3400, 'size': 2}
  • id: 107520009
    {'aut_label': '15B1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 15, 'group_order': 4200, 'label': '15B-1', 'order': 15, 'powers': [62, 11, 3, 61], 'representative': 920, 'size': 2}
  • id: 107520020
    {'aut_label': '15B1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 15, 'group_order': 4200, 'label': '15B2', 'order': 15, 'powers': [59, 12, 3, 60], 'representative': 2600, 'size': 2}
  • id: 107520031
    {'aut_label': '15B1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 15, 'group_order': 4200, 'label': '15B-2', 'order': 15, 'powers': [60, 12, 4, 59], 'representative': 1720, 'size': 2}
  • id: 107520042
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 15, 'group_order': 4200, 'label': '15C1', 'order': 15, 'powers': [65, 13, 3, 69], 'representative': 3416, 'size': 2}
  • id: 107520053
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 15, 'group_order': 4200, 'label': '15C-1', 'order': 15, 'powers': [66, 14, 4, 70], 'representative': 904, 'size': 2}
  • id: 107520064
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 15, 'group_order': 4200, 'label': '15C2', 'order': 15, 'powers': [67, 15, 4, 64], 'representative': 2632, 'size': 2}
  • id: 107520075
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 15, 'group_order': 4200, 'label': '15C-2', 'order': 15, 'powers': [68, 16, 3, 63], 'representative': 1688, 'size': 2}
  • id: 107520086
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 15, 'group_order': 4200, 'label': '15C4', 'order': 15, 'powers': [70, 14, 3, 66], 'representative': 944, 'size': 2}
  • id: 107520097
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 15, 'group_order': 4200, 'label': '15C-4', 'order': 15, 'powers': [69, 13, 4, 65], 'representative': 3376, 'size': 2}
  • id: 107520108
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 15, 'group_order': 4200, 'label': '15C7', 'order': 15, 'powers': [64, 15, 3, 67], 'representative': 2552, 'size': 2}
  • id: 107520120
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 15, 'group_order': 4200, 'label': '15C-7', 'order': 15, 'powers': [63, 16, 4, 68], 'representative': 1768, 'size': 2}
  • id: 107520131
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 15, 'group_order': 4200, 'label': '15D1', 'order': 15, 'powers': [73, 17, 3, 77], 'representative': 2576, 'size': 2}
  • id: 107520142
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 15, 'group_order': 4200, 'label': '15D-1', 'order': 15, 'powers': [74, 18, 4, 78], 'representative': 1744, 'size': 2}
  • id: 107520153
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 15, 'group_order': 4200, 'label': '15D2', 'order': 15, 'powers': [75, 19, 4, 72], 'representative': 952, 'size': 2}
  • id: 107520164
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 15, 'group_order': 4200, 'label': '15D-2', 'order': 15, 'powers': [76, 20, 3, 71], 'representative': 3368, 'size': 2}
  • id: 107520175
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 15, 'group_order': 4200, 'label': '15D4', 'order': 15, 'powers': [78, 18, 3, 74], 'representative': 1784, 'size': 2}
  • id: 107520186
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 15, 'group_order': 4200, 'label': '15D-4', 'order': 15, 'powers': [77, 17, 4, 73], 'representative': 2536, 'size': 2}
  • id: 107520197
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 15, 'group_order': 4200, 'label': '15D7', 'order': 15, 'powers': [72, 19, 3, 75], 'representative': 872, 'size': 2}
  • id: 107520208
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 15, 'group_order': 4200, 'label': '15D-7', 'order': 15, 'powers': [71, 20, 4, 76], 'representative': 3448, 'size': 2}
  • id: 107520219
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 15, 'group_order': 4200, 'label': '20A1', 'order': 20, 'powers': [30, 81, 5, 83], 'representative': 6, 'size': 1}
  • id: 107520231
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 15, 'group_order': 4200, 'label': '20A-1', 'order': 20, 'powers': [31, 82, 6, 84], 'representative': 114, 'size': 1}
  • id: 107520242
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 15, 'group_order': 4200, 'label': '20A3', 'order': 20, 'powers': [32, 85, 6, 79], 'representative': 18, 'size': 1}
  • id: 107520253
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 15, 'group_order': 4200, 'label': '20A-3', 'order': 20, 'powers': [33, 86, 5, 80], 'representative': 102, 'size': 1}
  • id: 107520264
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 15, 'group_order': 4200, 'label': '20A7', 'order': 20, 'powers': [33, 79, 6, 85], 'representative': 42, 'size': 1}
  • id: 107520275
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 15, 'group_order': 4200, 'label': '20A-7', 'order': 20, 'powers': [32, 80, 5, 86], 'representative': 78, 'size': 1}
  • id: 107520286
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 15, 'group_order': 4200, 'label': '20A9', 'order': 20, 'powers': [31, 83, 5, 81], 'representative': 54, 'size': 1}
  • id: 107520297
    {'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 15, 'group_order': 4200, 'label': '20A-9', 'order': 20, 'powers': [30, 84, 6, 82], 'representative': 66, 'size': 1}
  • id: 107520308
    {'aut_label': '20B1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 15, 'group_order': 4200, 'label': '20B1', 'order': 20, 'powers': [34, 89, 6, 89], 'representative': 2610, 'size': 2}
  • id: 107520319
    {'aut_label': '20B1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 15, 'group_order': 4200, 'label': '20B-1', 'order': 20, 'powers': [34, 90, 5, 90], 'representative': 1710, 'size': 2}
  • id: 107520330
    {'aut_label': '20B1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 15, 'group_order': 4200, 'label': '20B3', 'order': 20, 'powers': [35, 87, 5, 87], 'representative': 3390, 'size': 2}
  • id: 107520342
    {'aut_label': '20B1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 15, 'group_order': 4200, 'label': '20B-3', 'order': 20, 'powers': [35, 88, 6, 88], 'representative': 930, 'size': 2}
  • id: 107520353
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 15, 'group_order': 4200, 'label': '20C1', 'order': 20, 'powers': [36, 93, 6, 95], 'representative': 2562, 'size': 2}
  • id: 107520364
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 15, 'group_order': 4200, 'label': '20C-1', 'order': 20, 'powers': [37, 94, 5, 96], 'representative': 1758, 'size': 2}
  • id: 107520375
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 15, 'group_order': 4200, 'label': '20C3', 'order': 20, 'powers': [38, 97, 5, 91], 'representative': 3366, 'size': 2}
  • id: 107520386
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 15, 'group_order': 4200, 'label': '20C-3', 'order': 20, 'powers': [39, 98, 6, 92], 'representative': 954, 'size': 2}
  • id: 107520397
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 15, 'group_order': 4200, 'label': '20C7', 'order': 20, 'powers': [39, 91, 5, 97], 'representative': 894, 'size': 2}
  • id: 107520408
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 15, 'group_order': 4200, 'label': '20C-7', 'order': 20, 'powers': [38, 92, 6, 98], 'representative': 3426, 'size': 2}
  • id: 107520419
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 15, 'group_order': 4200, 'label': '20C9', 'order': 20, 'powers': [37, 95, 6, 93], 'representative': 1698, 'size': 2}
  • id: 107520430
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 15, 'group_order': 4200, 'label': '20C-9', 'order': 20, 'powers': [36, 96, 5, 94], 'representative': 2622, 'size': 2}
  • id: 107520441
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 15, 'group_order': 4200, 'label': '20D1', 'order': 20, 'powers': [40, 101, 6, 103], 'representative': 882, 'size': 2}
  • id: 107519314
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 15, 'group_order': 4200, 'label': '20D-1', 'order': 20, 'powers': [41, 102, 5, 104], 'representative': 3438, 'size': 2}
  • id: 107519325
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 15, 'group_order': 4200, 'label': '20D3', 'order': 20, 'powers': [42, 105, 5, 99], 'representative': 2526, 'size': 2}
  • id: 107519336
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 15, 'group_order': 4200, 'label': '20D-3', 'order': 20, 'powers': [43, 106, 6, 100], 'representative': 1794, 'size': 2}
  • id: 107519347
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 15, 'group_order': 4200, 'label': '20D7', 'order': 20, 'powers': [43, 99, 5, 105], 'representative': 1734, 'size': 2}
  • id: 107519358
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 15, 'group_order': 4200, 'label': '20D-7', 'order': 20, 'powers': [42, 100, 6, 106], 'representative': 2586, 'size': 2}
  • id: 107519369
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 15, 'group_order': 4200, 'label': '20D9', 'order': 20, 'powers': [41, 103, 6, 101], 'representative': 3378, 'size': 2}
  • id: 107519380
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 15, 'group_order': 4200, 'label': '20D-9', 'order': 20, 'powers': [40, 104, 5, 102], 'representative': 942, 'size': 2}
  • id: 107519391
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 15, 'group_order': 4200, 'label': '21A1', 'order': 21, 'powers': [109, 23, 109, 3], 'representative': 3640, 'size': 2}
  • id: 107519402
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 15, 'group_order': 4200, 'label': '21A-1', 'order': 21, 'powers': [110, 23, 110, 4], 'representative': 680, 'size': 2}
  • id: 107519413
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 15, 'group_order': 4200, 'label': '21A2', 'order': 21, 'powers': [111, 24, 111, 4], 'representative': 3080, 'size': 2}
  • id: 107519425
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 15, 'group_order': 4200, 'label': '21A-2', 'order': 21, 'powers': [112, 24, 112, 3], 'representative': 1240, 'size': 2}
  • id: 107519436
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 15, 'group_order': 4200, 'label': '21A4', 'order': 21, 'powers': [108, 25, 108, 3], 'representative': 1840, 'size': 2}
  • id: 107519447
    {'aut_label': '21A1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 15, 'group_order': 4200, 'label': '21A-4', 'order': 21, 'powers': [107, 25, 107, 4], 'representative': 2480, 'size': 2}
  • id: 107519458
    {'aut_label': '24A1', 'centralizer': '35.a1.a1', 'counter': 113, 'group_counter': 15, 'group_order': 4200, 'label': '24A1', 'order': 24, 'powers': [44, 26, 115, 117], 'representative': 5, 'size': 35}
  • id: 107519469
    {'aut_label': '24A1', 'centralizer': '35.a1.a1', 'counter': 114, 'group_counter': 15, 'group_order': 4200, 'label': '24A-1', 'order': 24, 'powers': [45, 27, 116, 118], 'representative': 115, 'size': 35}
  • id: 107519471
    {'aut_label': '24A1', 'centralizer': '35.a1.a1', 'counter': 115, 'group_counter': 15, 'group_order': 4200, 'label': '24A5', 'order': 24, 'powers': [46, 29, 113, 119], 'representative': 25, 'size': 35}
  • id: 107519472
    {'aut_label': '24A1', 'centralizer': '35.a1.a1', 'counter': 116, 'group_counter': 15, 'group_order': 4200, 'label': '24A-5', 'order': 24, 'powers': [47, 28, 114, 120], 'representative': 95, 'size': 35}
  • id: 107519473
    {'aut_label': '24A1', 'centralizer': '35.a1.a1', 'counter': 117, 'group_counter': 15, 'group_order': 4200, 'label': '24A7', 'order': 24, 'powers': [47, 27, 119, 113], 'representative': 35, 'size': 35}
  • id: 107519474
    {'aut_label': '24A1', 'centralizer': '35.a1.a1', 'counter': 118, 'group_counter': 15, 'group_order': 4200, 'label': '24A-7', 'order': 24, 'powers': [46, 26, 120, 114], 'representative': 85, 'size': 35}
  • id: 107519475
    {'aut_label': '24A1', 'centralizer': '35.a1.a1', 'counter': 119, 'group_counter': 15, 'group_order': 4200, 'label': '24A11', 'order': 24, 'powers': [45, 28, 117, 115], 'representative': 55, 'size': 35}
  • id: 107519477
    {'aut_label': '24A1', 'centralizer': '35.a1.a1', 'counter': 120, 'group_counter': 15, 'group_order': 4200, 'label': '24A-11', 'order': 24, 'powers': [44, 29, 118, 116], 'representative': 65, 'size': 35}
  • id: 107519478
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 15, 'group_order': 4200, 'label': '28A1', 'order': 28, 'powers': [48, 123, 125, 6], 'representative': 630, 'size': 2}
  • id: 107519479
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 15, 'group_order': 4200, 'label': '28A-1', 'order': 28, 'powers': [48, 124, 126, 5], 'representative': 3690, 'size': 2}
  • id: 107519480
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 15, 'group_order': 4200, 'label': '28A3', 'order': 28, 'powers': [49, 125, 122, 5], 'representative': 1890, 'size': 2}
  • id: 107519481
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 15, 'group_order': 4200, 'label': '28A-3', 'order': 28, 'powers': [49, 126, 121, 6], 'representative': 2430, 'size': 2}
  • id: 107519482
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 15, 'group_order': 4200, 'label': '28A5', 'order': 28, 'powers': [50, 122, 124, 6], 'representative': 3030, 'size': 2}
  • id: 107519483
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 15, 'group_order': 4200, 'label': '28A-5', 'order': 28, 'powers': [50, 121, 123, 5], 'representative': 1290, 'size': 2}
  • id: 107519484
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 15, 'group_order': 4200, 'label': '30A1', 'order': 30, 'powers': [51, 30, 21, 129], 'representative': 4, 'size': 1}
  • id: 107519485
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 15, 'group_order': 4200, 'label': '30A-1', 'order': 30, 'powers': [52, 31, 22, 130], 'representative': 116, 'size': 1}
  • id: 107519486
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 129, 'group_counter': 15, 'group_order': 4200, 'label': '30A7', 'order': 30, 'powers': [57, 33, 21, 132], 'representative': 28, 'size': 1}
  • id: 107519488
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 130, 'group_counter': 15, 'group_order': 4200, 'label': '30A-7', 'order': 30, 'powers': [58, 32, 22, 131], 'representative': 92, 'size': 1}
  • id: 107519489
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 131, 'group_counter': 15, 'group_order': 4200, 'label': '30A11', 'order': 30, 'powers': [56, 30, 22, 134], 'representative': 44, 'size': 1}
  • id: 107519490
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 132, 'group_counter': 15, 'group_order': 4200, 'label': '30A-11', 'order': 30, 'powers': [55, 31, 21, 133], 'representative': 76, 'size': 1}
  • id: 107519491
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 133, 'group_counter': 15, 'group_order': 4200, 'label': '30A13', 'order': 30, 'powers': [54, 32, 21, 127], 'representative': 52, 'size': 1}
  • id: 107519492
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 134, 'group_counter': 15, 'group_order': 4200, 'label': '30A-13', 'order': 30, 'powers': [53, 33, 22, 128], 'representative': 68, 'size': 1}
  • id: 107519493
    {'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 15, 'group_order': 4200, 'label': '30B1', 'order': 30, 'powers': [59, 34, 22, 137], 'representative': 1700, 'size': 2}
  • id: 107519494
    {'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 15, 'group_order': 4200, 'label': '30B-1', 'order': 30, 'powers': [60, 34, 21, 138], 'representative': 2620, 'size': 2}
  • id: 107519495
    {'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 15, 'group_order': 4200, 'label': '30B7', 'order': 30, 'powers': [62, 35, 22, 135], 'representative': 3380, 'size': 2}
  • id: 107519496
    {'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 15, 'group_order': 4200, 'label': '30B-7', 'order': 30, 'powers': [61, 35, 21, 136], 'representative': 940, 'size': 2}
  • id: 107519497
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 15, 'group_order': 4200, 'label': '30C1', 'order': 30, 'powers': [63, 36, 21, 141], 'representative': 1708, 'size': 2}
  • id: 107519499
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 15, 'group_order': 4200, 'label': '30C-1', 'order': 30, 'powers': [64, 37, 22, 142], 'representative': 2612, 'size': 2}
  • id: 107519500
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 15, 'group_order': 4200, 'label': '30C7', 'order': 30, 'powers': [69, 39, 21, 144], 'representative': 3436, 'size': 2}
  • id: 107519501
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 15, 'group_order': 4200, 'label': '30C-7', 'order': 30, 'powers': [70, 38, 22, 143], 'representative': 884, 'size': 2}
  • id: 107519502
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 15, 'group_order': 4200, 'label': '30C11', 'order': 30, 'powers': [68, 36, 22, 146], 'representative': 1748, 'size': 2}
  • id: 107519503
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 15, 'group_order': 4200, 'label': '30C-11', 'order': 30, 'powers': [67, 37, 21, 145], 'representative': 2572, 'size': 2}
  • id: 107519504
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 15, 'group_order': 4200, 'label': '30C13', 'order': 30, 'powers': [66, 38, 21, 139], 'representative': 844, 'size': 2}
  • id: 107519505
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 15, 'group_order': 4200, 'label': '30C-13', 'order': 30, 'powers': [65, 39, 22, 140], 'representative': 3476, 'size': 2}
  • id: 107519506
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 15, 'group_order': 4200, 'label': '30D1', 'order': 30, 'powers': [71, 40, 21, 149], 'representative': 3388, 'size': 2}
  • id: 107519507
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 148, 'group_counter': 15, 'group_order': 4200, 'label': '30D-1', 'order': 30, 'powers': [72, 41, 22, 150], 'representative': 932, 'size': 2}
  • id: 107519508
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 15, 'group_order': 4200, 'label': '30D7', 'order': 30, 'powers': [77, 43, 21, 152], 'representative': 2596, 'size': 2}
  • id: 107519510
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 15, 'group_order': 4200, 'label': '30D-7', 'order': 30, 'powers': [78, 42, 22, 151], 'representative': 1724, 'size': 2}
  • id: 107519511
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 15, 'group_order': 4200, 'label': '30D11', 'order': 30, 'powers': [76, 40, 22, 154], 'representative': 3428, 'size': 2}
  • id: 107519512
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 15, 'group_order': 4200, 'label': '30D-11', 'order': 30, 'powers': [75, 41, 21, 153], 'representative': 892, 'size': 2}
  • id: 107519513
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 15, 'group_order': 4200, 'label': '30D13', 'order': 30, 'powers': [74, 42, 21, 147], 'representative': 1684, 'size': 2}
  • id: 107519514
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 15, 'group_order': 4200, 'label': '30D-13', 'order': 30, 'powers': [73, 43, 22, 148], 'representative': 2636, 'size': 2}
  • id: 107519515
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 15, 'group_order': 4200, 'label': '35A1', 'order': 35, 'powers': [157, 159, 23, 9], 'representative': 3024, 'size': 2}
  • id: 107519516
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 15, 'group_order': 4200, 'label': '35A-1', 'order': 35, 'powers': [158, 160, 23, 10], 'representative': 1296, 'size': 2}
  • id: 107519517
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 157, 'group_counter': 15, 'group_order': 4200, 'label': '35A2', 'order': 35, 'powers': [161, 155, 24, 8], 'representative': 1848, 'size': 2}
  • id: 107519518
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 158, 'group_counter': 15, 'group_order': 4200, 'label': '35A-2', 'order': 35, 'powers': [162, 156, 24, 7], 'representative': 2472, 'size': 2}
  • id: 107519519
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 159, 'group_counter': 15, 'group_order': 4200, 'label': '35A3', 'order': 35, 'powers': [155, 165, 25, 7], 'representative': 672, 'size': 2}
  • id: 107519521
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 160, 'group_counter': 15, 'group_order': 4200, 'label': '35A-3', 'order': 35, 'powers': [156, 166, 25, 8], 'representative': 3648, 'size': 2}
  • id: 107519522
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 161, 'group_counter': 15, 'group_order': 4200, 'label': '35A4', 'order': 35, 'powers': [163, 157, 25, 10], 'representative': 3696, 'size': 2}
  • id: 107519523
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 162, 'group_counter': 15, 'group_order': 4200, 'label': '35A-4', 'order': 35, 'powers': [164, 158, 25, 9], 'representative': 624, 'size': 2}
  • id: 107519524
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 163, 'group_counter': 15, 'group_order': 4200, 'label': '35A8', 'order': 35, 'powers': [166, 161, 23, 7], 'representative': 3072, 'size': 2}
  • id: 107519525
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 164, 'group_counter': 15, 'group_order': 4200, 'label': '35A-8', 'order': 35, 'powers': [165, 162, 23, 8], 'representative': 1248, 'size': 2}
  • id: 107519526
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 165, 'group_counter': 15, 'group_order': 4200, 'label': '35A9', 'order': 35, 'powers': [159, 164, 24, 10], 'representative': 1896, 'size': 2}
  • id: 107519527
    {'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 166, 'group_counter': 15, 'group_order': 4200, 'label': '35A-9', 'order': 35, 'powers': [160, 163, 24, 9], 'representative': 2424, 'size': 2}
  • id: 107519528
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 167, 'group_counter': 15, 'group_order': 4200, 'label': '35B1', 'order': 35, 'powers': [168, 169, 25, 11], 'representative': 1440, 'size': 2}
  • id: 107519529
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 168, 'group_counter': 15, 'group_order': 4200, 'label': '35B2', 'order': 35, 'powers': [170, 171, 23, 12], 'representative': 2880, 'size': 2}
  • id: 107519530
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 169, 'group_counter': 15, 'group_order': 4200, 'label': '35B3', 'order': 35, 'powers': [171, 173, 24, 12], 'representative': 120, 'size': 2}
  • id: 107519532
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 170, 'group_counter': 15, 'group_order': 4200, 'label': '35B4', 'order': 35, 'powers': [172, 175, 24, 11], 'representative': 1560, 'size': 2}
  • id: 107519533
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 171, 'group_counter': 15, 'group_order': 4200, 'label': '35B6', 'order': 35, 'powers': [175, 178, 25, 11], 'representative': 240, 'size': 2}
  • id: 107519534
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 172, 'group_counter': 15, 'group_order': 4200, 'label': '35B8', 'order': 35, 'powers': [177, 174, 25, 12], 'representative': 3120, 'size': 2}
  • id: 107519535
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 173, 'group_counter': 15, 'group_order': 4200, 'label': '35B9', 'order': 35, 'powers': [178, 172, 23, 11], 'representative': 360, 'size': 2}
  • id: 107519536
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 174, 'group_counter': 15, 'group_order': 4200, 'label': '35B11', 'order': 35, 'powers': [176, 168, 24, 11], 'representative': 3240, 'size': 2}
  • id: 107519537
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 175, 'group_counter': 15, 'group_order': 4200, 'label': '35B12', 'order': 35, 'powers': [174, 167, 23, 12], 'representative': 480, 'size': 2}
  • id: 107519538
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 176, 'group_counter': 15, 'group_order': 4200, 'label': '35B13', 'order': 35, 'powers': [173, 170, 25, 12], 'representative': 1920, 'size': 2}
  • id: 107519539
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 177, 'group_counter': 15, 'group_order': 4200, 'label': '35B16', 'order': 35, 'powers': [169, 176, 23, 11], 'representative': 2040, 'size': 2}
  • id: 107519540
    {'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 178, 'group_counter': 15, 'group_order': 4200, 'label': '35B17', 'order': 35, 'powers': [167, 177, 24, 12], 'representative': 3480, 'size': 2}
  • id: 107519541
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 179, 'group_counter': 15, 'group_order': 4200, 'label': '35C1', 'order': 35, 'powers': [181, 183, 25, 13], 'representative': 1464, 'size': 2}
  • id: 107519543
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 180, 'group_counter': 15, 'group_order': 4200, 'label': '35C-1', 'order': 35, 'powers': [182, 184, 25, 14], 'representative': 2856, 'size': 2}
  • id: 107519544
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 181, 'group_counter': 15, 'group_order': 4200, 'label': '35C2', 'order': 35, 'powers': [185, 187, 23, 15], 'representative': 2928, 'size': 2}
  • id: 107519545
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 182, 'group_counter': 15, 'group_order': 4200, 'label': '35C-2', 'order': 35, 'powers': [186, 188, 23, 16], 'representative': 1392, 'size': 2}
  • id: 107519546
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 183, 'group_counter': 15, 'group_order': 4200, 'label': '35C3', 'order': 35, 'powers': [187, 191, 24, 16], 'representative': 192, 'size': 2}
  • id: 107519547
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 184, 'group_counter': 15, 'group_order': 4200, 'label': '35C-3', 'order': 35, 'powers': [188, 192, 24, 15], 'representative': 4128, 'size': 2}
  • id: 107519548
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 185, 'group_counter': 15, 'group_order': 4200, 'label': '35C4', 'order': 35, 'powers': [189, 195, 24, 14], 'representative': 1656, 'size': 2}
  • id: 107519549
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 186, 'group_counter': 15, 'group_order': 4200, 'label': '35C-4', 'order': 35, 'powers': [190, 196, 24, 13], 'representative': 2664, 'size': 2}
  • id: 107519550
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 187, 'group_counter': 15, 'group_order': 4200, 'label': '35C6', 'order': 35, 'powers': [195, 202, 25, 13], 'representative': 264, 'size': 2}
  • id: 107519551
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 188, 'group_counter': 15, 'group_order': 4200, 'label': '35C-6', 'order': 35, 'powers': [196, 201, 25, 14], 'representative': 4056, 'size': 2}
  • id: 107519552
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 189, 'group_counter': 15, 'group_order': 4200, 'label': '35C8', 'order': 35, 'powers': [199, 194, 25, 16], 'representative': 3192, 'size': 2}
  • id: 107519554
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 190, 'group_counter': 15, 'group_order': 4200, 'label': '35C-8', 'order': 35, 'powers': [200, 193, 25, 15], 'representative': 1128, 'size': 2}
  • id: 107519555
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 191, 'group_counter': 15, 'group_order': 4200, 'label': '35C9', 'order': 35, 'powers': [202, 190, 23, 14], 'representative': 456, 'size': 2}
  • id: 107519556
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 192, 'group_counter': 15, 'group_order': 4200, 'label': '35C-9', 'order': 35, 'powers': [201, 189, 23, 13], 'representative': 3864, 'size': 2}
  • id: 107519557
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 193, 'group_counter': 15, 'group_order': 4200, 'label': '35C11', 'order': 35, 'powers': [198, 182, 24, 13], 'representative': 3264, 'size': 2}
  • id: 107519558
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 194, 'group_counter': 15, 'group_order': 4200, 'label': '35C-11', 'order': 35, 'powers': [197, 181, 24, 14], 'representative': 1056, 'size': 2}
  • id: 107519559
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 195, 'group_counter': 15, 'group_order': 4200, 'label': '35C12', 'order': 35, 'powers': [194, 179, 23, 15], 'representative': 528, 'size': 2}
  • id: 107519560
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 196, 'group_counter': 15, 'group_order': 4200, 'label': '35C-12', 'order': 35, 'powers': [193, 180, 23, 16], 'representative': 3792, 'size': 2}
  • id: 107519561
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 197, 'group_counter': 15, 'group_order': 4200, 'label': '35C13', 'order': 35, 'powers': [192, 185, 25, 16], 'representative': 1992, 'size': 2}
  • id: 107519562
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 198, 'group_counter': 15, 'group_order': 4200, 'label': '35C-13', 'order': 35, 'powers': [191, 186, 25, 15], 'representative': 2328, 'size': 2}
  • id: 107519563
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 199, 'group_counter': 15, 'group_order': 4200, 'label': '35C16', 'order': 35, 'powers': [184, 197, 23, 13], 'representative': 2064, 'size': 2}
  • id: 107519566
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 200, 'group_counter': 15, 'group_order': 4200, 'label': '35C-16', 'order': 35, 'powers': [183, 198, 23, 14], 'representative': 2256, 'size': 2}
  • id: 107519567
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 201, 'group_counter': 15, 'group_order': 4200, 'label': '35C17', 'order': 35, 'powers': [180, 199, 24, 15], 'representative': 3528, 'size': 2}
  • id: 107519568
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 202, 'group_counter': 15, 'group_order': 4200, 'label': '35C-17', 'order': 35, 'powers': [179, 200, 24, 16], 'representative': 792, 'size': 2}
  • id: 107519569
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 203, 'group_counter': 15, 'group_order': 4200, 'label': '35D1', 'order': 35, 'powers': [205, 207, 23, 17], 'representative': 2904, 'size': 2}
  • id: 107519570
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 204, 'group_counter': 15, 'group_order': 4200, 'label': '35D-1', 'order': 35, 'powers': [206, 208, 23, 18], 'representative': 1416, 'size': 2}
  • id: 107519571
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 205, 'group_counter': 15, 'group_order': 4200, 'label': '35D2', 'order': 35, 'powers': [209, 211, 24, 19], 'representative': 1608, 'size': 2}
  • id: 107519572
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 206, 'group_counter': 15, 'group_order': 4200, 'label': '35D-2', 'order': 35, 'powers': [210, 212, 24, 20], 'representative': 2712, 'size': 2}
  • id: 107519573
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 207, 'group_counter': 15, 'group_order': 4200, 'label': '35D3', 'order': 35, 'powers': [211, 215, 25, 20], 'representative': 312, 'size': 2}
  • id: 107519574
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 208, 'group_counter': 15, 'group_order': 4200, 'label': '35D-3', 'order': 35, 'powers': [212, 216, 25, 19], 'representative': 4008, 'size': 2}
  • id: 107519575
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 209, 'group_counter': 15, 'group_order': 4200, 'label': '35D4', 'order': 35, 'powers': [213, 219, 25, 18], 'representative': 3216, 'size': 2}
  • id: 107519577
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 210, 'group_counter': 15, 'group_order': 4200, 'label': '35D-4', 'order': 35, 'powers': [214, 220, 25, 17], 'representative': 1104, 'size': 2}
  • id: 107519578
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 211, 'group_counter': 15, 'group_order': 4200, 'label': '35D6', 'order': 35, 'powers': [219, 226, 23, 17], 'representative': 504, 'size': 2}
  • id: 107519579
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 212, 'group_counter': 15, 'group_order': 4200, 'label': '35D-6', 'order': 35, 'powers': [220, 225, 23, 18], 'representative': 3816, 'size': 2}
  • id: 107519580
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 213, 'group_counter': 15, 'group_order': 4200, 'label': '35D8', 'order': 35, 'powers': [223, 218, 23, 20], 'representative': 2112, 'size': 2}
  • id: 107519581
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 214, 'group_counter': 15, 'group_order': 4200, 'label': '35D-8', 'order': 35, 'powers': [224, 217, 23, 19], 'representative': 2208, 'size': 2}
  • id: 107519582
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 215, 'group_counter': 15, 'group_order': 4200, 'label': '35D9', 'order': 35, 'powers': [226, 214, 24, 18], 'representative': 816, 'size': 2}
  • id: 107519583
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 216, 'group_counter': 15, 'group_order': 4200, 'label': '35D-9', 'order': 35, 'powers': [225, 213, 24, 17], 'representative': 3504, 'size': 2}
  • id: 107519584
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 217, 'group_counter': 15, 'group_order': 4200, 'label': '35D11', 'order': 35, 'powers': [222, 206, 25, 17], 'representative': 2304, 'size': 2}
  • id: 107519585
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 218, 'group_counter': 15, 'group_order': 4200, 'label': '35D-11', 'order': 35, 'powers': [221, 205, 25, 18], 'representative': 2016, 'size': 2}
  • id: 107519586
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 219, 'group_counter': 15, 'group_order': 4200, 'label': '35D12', 'order': 35, 'powers': [218, 203, 24, 19], 'representative': 1008, 'size': 2}
  • id: 107519588
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 220, 'group_counter': 15, 'group_order': 4200, 'label': '35D-12', 'order': 35, 'powers': [217, 204, 24, 20], 'representative': 3312, 'size': 2}
  • id: 107519589
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 221, 'group_counter': 15, 'group_order': 4200, 'label': '35D13', 'order': 35, 'powers': [216, 209, 23, 20], 'representative': 3912, 'size': 2}
  • id: 107519590
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 222, 'group_counter': 15, 'group_order': 4200, 'label': '35D-13', 'order': 35, 'powers': [215, 210, 23, 19], 'representative': 408, 'size': 2}
  • id: 107519591
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 223, 'group_counter': 15, 'group_order': 4200, 'label': '35D16', 'order': 35, 'powers': [208, 221, 24, 17], 'representative': 4104, 'size': 2}
  • id: 107519592
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 224, 'group_counter': 15, 'group_order': 4200, 'label': '35D-16', 'order': 35, 'powers': [207, 222, 24, 18], 'representative': 216, 'size': 2}
  • id: 107519593
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 225, 'group_counter': 15, 'group_order': 4200, 'label': '35D17', 'order': 35, 'powers': [204, 223, 25, 19], 'representative': 2808, 'size': 2}
  • id: 107519594
    {'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 226, 'group_counter': 15, 'group_order': 4200, 'label': '35D-17', 'order': 35, 'powers': [203, 224, 25, 20], 'representative': 1512, 'size': 2}
  • id: 107519595
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 227, 'group_counter': 15, 'group_order': 4200, 'label': '40A1', 'order': 40, 'powers': [79, 229, 26, 231], 'representative': 3, 'size': 35}
  • id: 107519596
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 228, 'group_counter': 15, 'group_order': 4200, 'label': '40A-1', 'order': 40, 'powers': [80, 230, 27, 232], 'representative': 117, 'size': 35}
  • id: 107519597
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 229, 'group_counter': 15, 'group_order': 4200, 'label': '40A3', 'order': 40, 'powers': [81, 233, 28, 242], 'representative': 9, 'size': 35}
  • id: 107519599
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 230, 'group_counter': 15, 'group_order': 4200, 'label': '40A-3', 'order': 40, 'powers': [82, 234, 29, 241], 'representative': 111, 'size': 35}
  • id: 107519600
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 231, 'group_counter': 15, 'group_order': 4200, 'label': '40A7', 'order': 40, 'powers': [83, 242, 27, 233], 'representative': 21, 'size': 35}
  • id: 107519601
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 232, 'group_counter': 15, 'group_order': 4200, 'label': '40A-7', 'order': 40, 'powers': [84, 241, 26, 234], 'representative': 99, 'size': 35}
  • id: 107519602
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 233, 'group_counter': 15, 'group_order': 4200, 'label': '40A9', 'order': 40, 'powers': [85, 238, 26, 240], 'representative': 27, 'size': 35}
  • id: 107519603
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 234, 'group_counter': 15, 'group_order': 4200, 'label': '40A-9', 'order': 40, 'powers': [86, 237, 27, 239], 'representative': 93, 'size': 35}
  • id: 107519604
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 235, 'group_counter': 15, 'group_order': 4200, 'label': '40A11', 'order': 40, 'powers': [86, 232, 28, 230], 'representative': 33, 'size': 35}
  • id: 107519605
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 236, 'group_counter': 15, 'group_order': 4200, 'label': '40A-11', 'order': 40, 'powers': [85, 231, 29, 229], 'representative': 87, 'size': 35}
  • id: 107519606
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 237, 'group_counter': 15, 'group_order': 4200, 'label': '40A13', 'order': 40, 'powers': [84, 228, 29, 235], 'representative': 39, 'size': 35}
  • id: 107519607
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 238, 'group_counter': 15, 'group_order': 4200, 'label': '40A-13', 'order': 40, 'powers': [83, 227, 28, 236], 'representative': 81, 'size': 35}
  • id: 107519608
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 239, 'group_counter': 15, 'group_order': 4200, 'label': '40A17', 'order': 40, 'powers': [82, 235, 26, 228], 'representative': 51, 'size': 35}
  • id: 107519610
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 240, 'group_counter': 15, 'group_order': 4200, 'label': '40A-17', 'order': 40, 'powers': [81, 236, 27, 227], 'representative': 69, 'size': 35}
  • id: 107519611
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 241, 'group_counter': 15, 'group_order': 4200, 'label': '40A19', 'order': 40, 'powers': [80, 239, 28, 237], 'representative': 57, 'size': 35}
  • id: 107519612
    {'aut_label': '40A1', 'centralizer': '35.a1.a1', 'counter': 242, 'group_counter': 15, 'group_order': 4200, 'label': '40A-19', 'order': 40, 'powers': [79, 240, 29, 238], 'representative': 63, 'size': 35}
  • id: 107519613
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 243, 'group_counter': 15, 'group_order': 4200, 'label': '42A1', 'order': 42, 'powers': [107, 48, 245, 21], 'representative': 1820, 'size': 2}
  • id: 107519614
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 244, 'group_counter': 15, 'group_order': 4200, 'label': '42A-1', 'order': 42, 'powers': [108, 48, 246, 22], 'representative': 2500, 'size': 2}
  • id: 107519615
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 245, 'group_counter': 15, 'group_order': 4200, 'label': '42A5', 'order': 42, 'powers': [109, 50, 248, 22], 'representative': 700, 'size': 2}
  • id: 107519616
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 246, 'group_counter': 15, 'group_order': 4200, 'label': '42A-5', 'order': 42, 'powers': [110, 50, 247, 21], 'representative': 3620, 'size': 2}
  • id: 107519617
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 247, 'group_counter': 15, 'group_order': 4200, 'label': '42A11', 'order': 42, 'powers': [112, 49, 243, 22], 'representative': 3100, 'size': 2}
  • id: 107519618
    {'aut_label': '42A1', 'centralizer': '2.a1.a1', 'counter': 248, 'group_counter': 15, 'group_order': 4200, 'label': '42A-11', 'order': 42, 'powers': [111, 49, 244, 21], 'representative': 1220, 'size': 2}
  • id: 107519619
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 249, 'group_counter': 15, 'group_order': 4200, 'label': '60A1', 'order': 60, 'powers': [127, 79, 44, 251], 'representative': 2, 'size': 1}
  • id: 107519621
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 250, 'group_counter': 15, 'group_order': 4200, 'label': '60A-1', 'order': 60, 'powers': [128, 80, 45, 252], 'representative': 118, 'size': 1}
  • id: 107519622
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 251, 'group_counter': 15, 'group_order': 4200, 'label': '60A7', 'order': 60, 'powers': [129, 83, 47, 254], 'representative': 14, 'size': 1}
  • id: 107519623
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 252, 'group_counter': 15, 'group_order': 4200, 'label': '60A-7', 'order': 60, 'powers': [130, 84, 46, 253], 'representative': 106, 'size': 1}
  • id: 107519624
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 253, 'group_counter': 15, 'group_order': 4200, 'label': '60A11', 'order': 60, 'powers': [131, 86, 45, 257], 'representative': 22, 'size': 1}
  • id: 107519625
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 254, 'group_counter': 15, 'group_order': 4200, 'label': '60A-11', 'order': 60, 'powers': [132, 85, 44, 258], 'representative': 98, 'size': 1}
  • id: 107519626
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 255, 'group_counter': 15, 'group_order': 4200, 'label': '60A13', 'order': 60, 'powers': [133, 84, 44, 264], 'representative': 26, 'size': 1}
  • id: 107519627
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 256, 'group_counter': 15, 'group_order': 4200, 'label': '60A-13', 'order': 60, 'powers': [134, 83, 45, 263], 'representative': 94, 'size': 1}
  • id: 107519628
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 257, 'group_counter': 15, 'group_order': 4200, 'label': '60A17', 'order': 60, 'powers': [134, 82, 46, 250], 'representative': 34, 'size': 1}
  • id: 107519629
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 258, 'group_counter': 15, 'group_order': 4200, 'label': '60A-17', 'order': 60, 'powers': [133, 81, 47, 249], 'representative': 86, 'size': 1}
  • id: 107519630
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 259, 'group_counter': 15, 'group_order': 4200, 'label': '60A19', 'order': 60, 'powers': [132, 80, 47, 255], 'representative': 38, 'size': 1}
  • id: 107519632
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 260, 'group_counter': 15, 'group_order': 4200, 'label': '60A-19', 'order': 60, 'powers': [131, 79, 46, 256], 'representative': 82, 'size': 1}
  • id: 107519633
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 261, 'group_counter': 15, 'group_order': 4200, 'label': '60A23', 'order': 60, 'powers': [130, 81, 45, 260], 'representative': 46, 'size': 1}
  • id: 107519634
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 262, 'group_counter': 15, 'group_order': 4200, 'label': '60A-23', 'order': 60, 'powers': [129, 82, 44, 259], 'representative': 74, 'size': 1}
  • id: 107519635
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 263, 'group_counter': 15, 'group_order': 4200, 'label': '60A29', 'order': 60, 'powers': [128, 85, 46, 261], 'representative': 58, 'size': 1}
  • id: 107519636
    {'aut_label': '60A1', 'centralizer': '1.a1.a1', 'counter': 264, 'group_counter': 15, 'group_order': 4200, 'label': '60A-29', 'order': 60, 'powers': [127, 86, 47, 262], 'representative': 62, 'size': 1}
  • id: 107519637
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 265, 'group_counter': 15, 'group_order': 4200, 'label': '60B1', 'order': 60, 'powers': [135, 87, 45, 267], 'representative': 910, 'size': 2}
  • id: 107519638
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 266, 'group_counter': 15, 'group_order': 4200, 'label': '60B-1', 'order': 60, 'powers': [136, 88, 44, 268], 'representative': 3410, 'size': 2}
  • id: 107519639
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 267, 'group_counter': 15, 'group_order': 4200, 'label': '60B7', 'order': 60, 'powers': [137, 89, 46, 265], 'representative': 1690, 'size': 2}
  • id: 107519640
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 268, 'group_counter': 15, 'group_order': 4200, 'label': '60B-7', 'order': 60, 'powers': [138, 90, 47, 266], 'representative': 2630, 'size': 2}
  • id: 107519641
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 269, 'group_counter': 15, 'group_order': 4200, 'label': '60B13', 'order': 60, 'powers': [137, 90, 45, 271], 'representative': 2590, 'size': 2}
  • id: 107519643
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 270, 'group_counter': 15, 'group_order': 4200, 'label': '60B-13', 'order': 60, 'powers': [138, 89, 44, 272], 'representative': 1730, 'size': 2}
  • id: 107519644
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 271, 'group_counter': 15, 'group_order': 4200, 'label': '60B19', 'order': 60, 'powers': [135, 88, 46, 269], 'representative': 3370, 'size': 2}
  • id: 107519645
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 272, 'group_counter': 15, 'group_order': 4200, 'label': '60B-19', 'order': 60, 'powers': [136, 87, 47, 270], 'representative': 950, 'size': 2}
  • id: 107519646
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 273, 'group_counter': 15, 'group_order': 4200, 'label': '60C1', 'order': 60, 'powers': [139, 91, 47, 275], 'representative': 854, 'size': 2}
  • id: 107519647
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 274, 'group_counter': 15, 'group_order': 4200, 'label': '60C-1', 'order': 60, 'powers': [140, 92, 46, 276], 'representative': 3466, 'size': 2}
  • id: 107519648
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 275, 'group_counter': 15, 'group_order': 4200, 'label': '60C7', 'order': 60, 'powers': [141, 95, 44, 278], 'representative': 1778, 'size': 2}
  • id: 107519649
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 276, 'group_counter': 15, 'group_order': 4200, 'label': '60C-7', 'order': 60, 'powers': [142, 96, 45, 277], 'representative': 2542, 'size': 2}
  • id: 107519650
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 277, 'group_counter': 15, 'group_order': 4200, 'label': '60C11', 'order': 60, 'powers': [143, 98, 46, 281], 'representative': 874, 'size': 2}
  • id: 107519651
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 278, 'group_counter': 15, 'group_order': 4200, 'label': '60C-11', 'order': 60, 'powers': [144, 97, 47, 282], 'representative': 3446, 'size': 2}
  • id: 107519652
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 279, 'group_counter': 15, 'group_order': 4200, 'label': '60C13', 'order': 60, 'powers': [145, 96, 47, 288], 'representative': 2582, 'size': 2}
  • id: 107519654
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 280, 'group_counter': 15, 'group_order': 4200, 'label': '60C-13', 'order': 60, 'powers': [146, 95, 46, 287], 'representative': 1738, 'size': 2}
  • id: 107519655
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 281, 'group_counter': 15, 'group_order': 4200, 'label': '60C17', 'order': 60, 'powers': [146, 94, 45, 274], 'representative': 1798, 'size': 2}
  • id: 107519656
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 282, 'group_counter': 15, 'group_order': 4200, 'label': '60C-17', 'order': 60, 'powers': [145, 93, 44, 273], 'representative': 2522, 'size': 2}
  • id: 107519657
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 283, 'group_counter': 15, 'group_order': 4200, 'label': '60C19', 'order': 60, 'powers': [144, 92, 44, 279], 'representative': 3386, 'size': 2}
  • id: 107519658
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 284, 'group_counter': 15, 'group_order': 4200, 'label': '60C-19', 'order': 60, 'powers': [143, 91, 45, 280], 'representative': 934, 'size': 2}
  • id: 107519659
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 285, 'group_counter': 15, 'group_order': 4200, 'label': '60C23', 'order': 60, 'powers': [142, 93, 46, 284], 'representative': 2602, 'size': 2}
  • id: 107519660
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 286, 'group_counter': 15, 'group_order': 4200, 'label': '60C-23', 'order': 60, 'powers': [141, 94, 47, 283], 'representative': 1718, 'size': 2}
  • id: 107519661
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 287, 'group_counter': 15, 'group_order': 4200, 'label': '60C29', 'order': 60, 'powers': [140, 97, 45, 285], 'representative': 3406, 'size': 2}
  • id: 107519662
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 288, 'group_counter': 15, 'group_order': 4200, 'label': '60C-29', 'order': 60, 'powers': [139, 98, 44, 286], 'representative': 914, 'size': 2}
  • id: 107519663
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 289, 'group_counter': 15, 'group_order': 4200, 'label': '60D1', 'order': 60, 'powers': [147, 99, 47, 291], 'representative': 1694, 'size': 2}
  • id: 107519665
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 290, 'group_counter': 15, 'group_order': 4200, 'label': '60D-1', 'order': 60, 'powers': [148, 100, 46, 292], 'representative': 2626, 'size': 2}
  • id: 107519666
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 291, 'group_counter': 15, 'group_order': 4200, 'label': '60D7', 'order': 60, 'powers': [149, 103, 44, 294], 'representative': 3458, 'size': 2}
  • id: 107519667
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 292, 'group_counter': 15, 'group_order': 4200, 'label': '60D-7', 'order': 60, 'powers': [150, 104, 45, 293], 'representative': 862, 'size': 2}
  • id: 107519668
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 293, 'group_counter': 15, 'group_order': 4200, 'label': '60D11', 'order': 60, 'powers': [151, 106, 46, 297], 'representative': 1714, 'size': 2}
  • id: 107519669
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 294, 'group_counter': 15, 'group_order': 4200, 'label': '60D-11', 'order': 60, 'powers': [152, 105, 47, 298], 'representative': 2606, 'size': 2}
  • id: 107519670
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 295, 'group_counter': 15, 'group_order': 4200, 'label': '60D13', 'order': 60, 'powers': [153, 104, 47, 304], 'representative': 902, 'size': 2}
  • id: 107519671
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 296, 'group_counter': 15, 'group_order': 4200, 'label': '60D-13', 'order': 60, 'powers': [154, 103, 46, 303], 'representative': 3418, 'size': 2}
  • id: 107519672
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 297, 'group_counter': 15, 'group_order': 4200, 'label': '60D17', 'order': 60, 'powers': [154, 102, 45, 290], 'representative': 3478, 'size': 2}
  • id: 107519673
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 298, 'group_counter': 15, 'group_order': 4200, 'label': '60D-17', 'order': 60, 'powers': [153, 101, 44, 289], 'representative': 842, 'size': 2}
  • id: 107519674
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 299, 'group_counter': 15, 'group_order': 4200, 'label': '60D19', 'order': 60, 'powers': [152, 100, 44, 295], 'representative': 2546, 'size': 2}
  • id: 107519677
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 300, 'group_counter': 15, 'group_order': 4200, 'label': '60D-19', 'order': 60, 'powers': [151, 99, 45, 296], 'representative': 1774, 'size': 2}
  • id: 107519678
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 301, 'group_counter': 15, 'group_order': 4200, 'label': '60D23', 'order': 60, 'powers': [150, 101, 46, 300], 'representative': 922, 'size': 2}
  • id: 107519679
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 302, 'group_counter': 15, 'group_order': 4200, 'label': '60D-23', 'order': 60, 'powers': [149, 102, 47, 299], 'representative': 3398, 'size': 2}
  • id: 107519680
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 303, 'group_counter': 15, 'group_order': 4200, 'label': '60D29', 'order': 60, 'powers': [148, 105, 45, 301], 'representative': 2566, 'size': 2}
  • id: 107519681
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 304, 'group_counter': 15, 'group_order': 4200, 'label': '60D-29', 'order': 60, 'powers': [147, 106, 44, 302], 'representative': 1754, 'size': 2}
  • id: 107519682
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 305, 'group_counter': 15, 'group_order': 4200, 'label': '70A1', 'order': 70, 'powers': [155, 307, 48, 33], 'representative': 3612, 'size': 2}
  • id: 107519683
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 306, 'group_counter': 15, 'group_order': 4200, 'label': '70A-1', 'order': 70, 'powers': [156, 308, 48, 32], 'representative': 708, 'size': 2}
  • id: 107519684
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 307, 'group_counter': 15, 'group_order': 4200, 'label': '70A3', 'order': 70, 'powers': [159, 309, 49, 30], 'representative': 2436, 'size': 2}
  • id: 107519685
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 308, 'group_counter': 15, 'group_order': 4200, 'label': '70A-3', 'order': 70, 'powers': [160, 310, 49, 31], 'representative': 1884, 'size': 2}
  • id: 107519686
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 309, 'group_counter': 15, 'group_order': 4200, 'label': '70A9', 'order': 70, 'powers': [165, 314, 50, 32], 'representative': 3108, 'size': 2}
  • id: 107519688
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 310, 'group_counter': 15, 'group_order': 4200, 'label': '70A-9', 'order': 70, 'powers': [166, 313, 50, 33], 'representative': 1212, 'size': 2}
  • id: 107519689
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 311, 'group_counter': 15, 'group_order': 4200, 'label': '70A11', 'order': 70, 'powers': [162, 315, 49, 33], 'representative': 1812, 'size': 2}
  • id: 107519690
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 312, 'group_counter': 15, 'group_order': 4200, 'label': '70A-11', 'order': 70, 'powers': [161, 316, 49, 32], 'representative': 2508, 'size': 2}
  • id: 107519691
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 313, 'group_counter': 15, 'group_order': 4200, 'label': '70A13', 'order': 70, 'powers': [163, 312, 48, 30], 'representative': 636, 'size': 2}
  • id: 107519692
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 314, 'group_counter': 15, 'group_order': 4200, 'label': '70A-13', 'order': 70, 'powers': [164, 311, 48, 31], 'representative': 3684, 'size': 2}
  • id: 107519693
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 315, 'group_counter': 15, 'group_order': 4200, 'label': '70A23', 'order': 70, 'powers': [158, 306, 50, 30], 'representative': 3036, 'size': 2}
  • id: 107519694
    {'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 316, 'group_counter': 15, 'group_order': 4200, 'label': '70A-23', 'order': 70, 'powers': [157, 305, 50, 31], 'representative': 1284, 'size': 2}
  • id: 107519695
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 317, 'group_counter': 15, 'group_order': 4200, 'label': '70B1', 'order': 70, 'powers': [167, 318, 49, 34], 'representative': 780, 'size': 2}
  • id: 107519696
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 318, 'group_counter': 15, 'group_order': 4200, 'label': '70B3', 'order': 70, 'powers': [169, 319, 50, 35], 'representative': 2220, 'size': 2}
  • id: 107519697
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 319, 'group_counter': 15, 'group_order': 4200, 'label': '70B9', 'order': 70, 'powers': [173, 325, 48, 34], 'representative': 2340, 'size': 2}
  • id: 107519699
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 320, 'group_counter': 15, 'group_order': 4200, 'label': '70B11', 'order': 70, 'powers': [174, 328, 50, 34], 'representative': 3780, 'size': 2}
  • id: 107519700
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 321, 'group_counter': 15, 'group_order': 4200, 'label': '70B13', 'order': 70, 'powers': [176, 327, 49, 35], 'representative': 1020, 'size': 2}
  • id: 107519701
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 322, 'group_counter': 15, 'group_order': 4200, 'label': '70B17', 'order': 70, 'powers': [178, 323, 50, 35], 'representative': 3900, 'size': 2}
  • id: 107519702
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 323, 'group_counter': 15, 'group_order': 4200, 'label': '70B19', 'order': 70, 'powers': [177, 321, 48, 34], 'representative': 1140, 'size': 2}
  • id: 107519703
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 324, 'group_counter': 15, 'group_order': 4200, 'label': '70B23', 'order': 70, 'powers': [175, 317, 48, 35], 'representative': 4020, 'size': 2}
  • id: 107519704
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 325, 'group_counter': 15, 'group_order': 4200, 'label': '70B27', 'order': 70, 'powers': [172, 320, 49, 35], 'representative': 2700, 'size': 2}
  • id: 107519705
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 326, 'group_counter': 15, 'group_order': 4200, 'label': '70B29', 'order': 70, 'powers': [171, 322, 49, 34], 'representative': 4140, 'size': 2}
  • id: 107519706
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 327, 'group_counter': 15, 'group_order': 4200, 'label': '70B31', 'order': 70, 'powers': [170, 324, 50, 34], 'representative': 1380, 'size': 2}
  • id: 107519707
    {'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 328, 'group_counter': 15, 'group_order': 4200, 'label': '70B33', 'order': 70, 'powers': [168, 326, 48, 35], 'representative': 2820, 'size': 2}
  • id: 107519708
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 329, 'group_counter': 15, 'group_order': 4200, 'label': '70C1', 'order': 70, 'powers': [179, 331, 49, 36], 'representative': 732, 'size': 2}
  • id: 107519710
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 330, 'group_counter': 15, 'group_order': 4200, 'label': '70C-1', 'order': 70, 'powers': [180, 332, 49, 37], 'representative': 3588, 'size': 2}
  • id: 107519711
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 331, 'group_counter': 15, 'group_order': 4200, 'label': '70C3', 'order': 70, 'powers': [183, 333, 50, 38], 'representative': 2196, 'size': 2}
  • id: 107519712
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 332, 'group_counter': 15, 'group_order': 4200, 'label': '70C-3', 'order': 70, 'powers': [184, 334, 50, 39], 'representative': 2124, 'size': 2}
  • id: 107519713
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 333, 'group_counter': 15, 'group_order': 4200, 'label': '70C9', 'order': 70, 'powers': [191, 345, 48, 37], 'representative': 2388, 'size': 2}
  • id: 107519714
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 334, 'group_counter': 15, 'group_order': 4200, 'label': '70C-9', 'order': 70, 'powers': [192, 346, 48, 36], 'representative': 1932, 'size': 2}
  • id: 107519715
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 335, 'group_counter': 15, 'group_order': 4200, 'label': '70C11', 'order': 70, 'powers': [193, 351, 50, 36], 'representative': 3732, 'size': 2}
  • id: 107519716
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 336, 'group_counter': 15, 'group_order': 4200, 'label': '70C-11', 'order': 70, 'powers': [194, 352, 50, 37], 'representative': 588, 'size': 2}
  • id: 107519717
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 337, 'group_counter': 15, 'group_order': 4200, 'label': '70C13', 'order': 70, 'powers': [197, 350, 49, 38], 'representative': 996, 'size': 2}
  • id: 107519718
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 338, 'group_counter': 15, 'group_order': 4200, 'label': '70C-13', 'order': 70, 'powers': [198, 349, 49, 39], 'representative': 3324, 'size': 2}
  • id: 107519719
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 339, 'group_counter': 15, 'group_order': 4200, 'label': '70C17', 'order': 70, 'powers': [201, 342, 50, 39], 'representative': 3924, 'size': 2}
  • id: 107519721
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 340, 'group_counter': 15, 'group_order': 4200, 'label': '70C-17', 'order': 70, 'powers': [202, 341, 50, 38], 'representative': 396, 'size': 2}
  • id: 107519722
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 341, 'group_counter': 15, 'group_order': 4200, 'label': '70C19', 'order': 70, 'powers': [200, 338, 48, 37], 'representative': 1188, 'size': 2}
  • id: 107519723
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 342, 'group_counter': 15, 'group_order': 4200, 'label': '70C-19', 'order': 70, 'powers': [199, 337, 48, 36], 'representative': 3132, 'size': 2}
  • id: 107519724
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 343, 'group_counter': 15, 'group_order': 4200, 'label': '70C23', 'order': 70, 'powers': [196, 330, 48, 38], 'representative': 3996, 'size': 2}
  • id: 107519725
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 344, 'group_counter': 15, 'group_order': 4200, 'label': '70C-23', 'order': 70, 'powers': [195, 329, 48, 39], 'representative': 324, 'size': 2}
  • id: 107519726
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 345, 'group_counter': 15, 'group_order': 4200, 'label': '70C27', 'order': 70, 'powers': [190, 335, 49, 39], 'representative': 2724, 'size': 2}
  • id: 107519727
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 346, 'group_counter': 15, 'group_order': 4200, 'label': '70C-27', 'order': 70, 'powers': [189, 336, 49, 38], 'representative': 1596, 'size': 2}
  • id: 107519728
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 347, 'group_counter': 15, 'group_order': 4200, 'label': '70C29', 'order': 70, 'powers': [188, 339, 49, 37], 'representative': 4188, 'size': 2}
  • id: 107519729
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 348, 'group_counter': 15, 'group_order': 4200, 'label': '70C-29', 'order': 70, 'powers': [187, 340, 49, 36], 'representative': 132, 'size': 2}
  • id: 107519730
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 349, 'group_counter': 15, 'group_order': 4200, 'label': '70C31', 'order': 70, 'powers': [186, 343, 50, 36], 'representative': 1332, 'size': 2}
  • id: 107519732
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 350, 'group_counter': 15, 'group_order': 4200, 'label': '70C-31', 'order': 70, 'powers': [185, 344, 50, 37], 'representative': 2988, 'size': 2}
  • id: 107519733
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 351, 'group_counter': 15, 'group_order': 4200, 'label': '70C33', 'order': 70, 'powers': [182, 347, 48, 38], 'representative': 2796, 'size': 2}
  • id: 107519734
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 352, 'group_counter': 15, 'group_order': 4200, 'label': '70C-33', 'order': 70, 'powers': [181, 348, 48, 39], 'representative': 1524, 'size': 2}
  • id: 107519735
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 353, 'group_counter': 15, 'group_order': 4200, 'label': '70D1', 'order': 70, 'powers': [203, 355, 48, 40], 'representative': 1452, 'size': 2}
  • id: 107519736
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 354, 'group_counter': 15, 'group_order': 4200, 'label': '70D-1', 'order': 70, 'powers': [204, 356, 48, 41], 'representative': 2868, 'size': 2}
  • id: 107519737
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 355, 'group_counter': 15, 'group_order': 4200, 'label': '70D3', 'order': 70, 'powers': [207, 357, 49, 42], 'representative': 156, 'size': 2}
  • id: 107519738
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 356, 'group_counter': 15, 'group_order': 4200, 'label': '70D-3', 'order': 70, 'powers': [208, 358, 49, 43], 'representative': 4164, 'size': 2}
  • id: 107519739
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 357, 'group_counter': 15, 'group_order': 4200, 'label': '70D9', 'order': 70, 'powers': [215, 369, 50, 41], 'representative': 468, 'size': 2}
  • id: 107519740
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 358, 'group_counter': 15, 'group_order': 4200, 'label': '70D-9', 'order': 70, 'powers': [216, 370, 50, 40], 'representative': 3852, 'size': 2}
  • id: 107519741
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 359, 'group_counter': 15, 'group_order': 4200, 'label': '70D11', 'order': 70, 'powers': [217, 375, 49, 40], 'representative': 3252, 'size': 2}
  • id: 107519743
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 360, 'group_counter': 15, 'group_order': 4200, 'label': '70D-11', 'order': 70, 'powers': [218, 376, 49, 41], 'representative': 1068, 'size': 2}
  • id: 107519744
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 361, 'group_counter': 15, 'group_order': 4200, 'label': '70D13', 'order': 70, 'powers': [221, 374, 48, 42], 'representative': 1956, 'size': 2}
  • id: 107519745
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 362, 'group_counter': 15, 'group_order': 4200, 'label': '70D-13', 'order': 70, 'powers': [222, 373, 48, 43], 'representative': 2364, 'size': 2}
  • id: 107519746
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 363, 'group_counter': 15, 'group_order': 4200, 'label': '70D17', 'order': 70, 'powers': [225, 366, 49, 43], 'representative': 3564, 'size': 2}
  • id: 107519747
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 364, 'group_counter': 15, 'group_order': 4200, 'label': '70D-17', 'order': 70, 'powers': [226, 365, 49, 42], 'representative': 756, 'size': 2}
  • id: 107519748
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 365, 'group_counter': 15, 'group_order': 4200, 'label': '70D19', 'order': 70, 'powers': [224, 362, 50, 41], 'representative': 2268, 'size': 2}
  • id: 107519749
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 366, 'group_counter': 15, 'group_order': 4200, 'label': '70D-19', 'order': 70, 'powers': [223, 361, 50, 40], 'representative': 2052, 'size': 2}
  • id: 107519750
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 367, 'group_counter': 15, 'group_order': 4200, 'label': '70D23', 'order': 70, 'powers': [220, 354, 50, 42], 'representative': 3756, 'size': 2}
  • id: 107519751
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 368, 'group_counter': 15, 'group_order': 4200, 'label': '70D-23', 'order': 70, 'powers': [219, 353, 50, 43], 'representative': 564, 'size': 2}
  • id: 107519752
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 369, 'group_counter': 15, 'group_order': 4200, 'label': '70D27', 'order': 70, 'powers': [214, 359, 48, 43], 'representative': 1164, 'size': 2}
  • id: 107519754
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 370, 'group_counter': 15, 'group_order': 4200, 'label': '70D-27', 'order': 70, 'powers': [213, 360, 48, 42], 'representative': 3156, 'size': 2}
  • id: 107519755
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 371, 'group_counter': 15, 'group_order': 4200, 'label': '70D29', 'order': 70, 'powers': [212, 363, 48, 41], 'representative': 4068, 'size': 2}
  • id: 107519756
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 372, 'group_counter': 15, 'group_order': 4200, 'label': '70D-29', 'order': 70, 'powers': [211, 364, 48, 40], 'representative': 252, 'size': 2}
  • id: 107519757
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 373, 'group_counter': 15, 'group_order': 4200, 'label': '70D31', 'order': 70, 'powers': [210, 367, 49, 40], 'representative': 2652, 'size': 2}
  • id: 107519758
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 374, 'group_counter': 15, 'group_order': 4200, 'label': '70D-31', 'order': 70, 'powers': [209, 368, 49, 41], 'representative': 1668, 'size': 2}
  • id: 107519759
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 375, 'group_counter': 15, 'group_order': 4200, 'label': '70D33', 'order': 70, 'powers': [206, 371, 50, 42], 'representative': 1356, 'size': 2}
  • id: 107519760
    {'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 376, 'group_counter': 15, 'group_order': 4200, 'label': '70D-33', 'order': 70, 'powers': [205, 372, 50, 43], 'representative': 2964, 'size': 2}
  • id: 107519761
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 377, 'group_counter': 15, 'group_order': 4200, 'label': '84A1', 'order': 84, 'powers': [243, 121, 379, 47], 'representative': 3010, 'size': 2}
  • id: 107519762
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 378, 'group_counter': 15, 'group_order': 4200, 'label': '84A-1', 'order': 84, 'powers': [244, 122, 380, 46], 'representative': 1310, 'size': 2}
  • id: 107519763
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 379, 'group_counter': 15, 'group_order': 4200, 'label': '84A5', 'order': 84, 'powers': [245, 125, 382, 45], 'representative': 2450, 'size': 2}
  • id: 107519765
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 380, 'group_counter': 15, 'group_order': 4200, 'label': '84A-5', 'order': 84, 'powers': [246, 126, 381, 44], 'representative': 1870, 'size': 2}
  • id: 107519766
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 381, 'group_counter': 15, 'group_order': 4200, 'label': '84A11', 'order': 84, 'powers': [247, 123, 388, 46], 'representative': 3710, 'size': 2}
  • id: 107519767
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 382, 'group_counter': 15, 'group_order': 4200, 'label': '84A-11', 'order': 84, 'powers': [248, 124, 387, 47], 'representative': 610, 'size': 2}
  • id: 107519768
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 383, 'group_counter': 15, 'group_order': 4200, 'label': '84A17', 'order': 84, 'powers': [247, 124, 377, 45], 'representative': 650, 'size': 2}
  • id: 107519769
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 384, 'group_counter': 15, 'group_order': 4200, 'label': '84A-17', 'order': 84, 'powers': [248, 123, 378, 44], 'representative': 3670, 'size': 2}
  • id: 107519770
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 385, 'group_counter': 15, 'group_order': 4200, 'label': '84A23', 'order': 84, 'powers': [245, 126, 384, 46], 'representative': 1910, 'size': 2}
  • id: 107519771
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 386, 'group_counter': 15, 'group_order': 4200, 'label': '84A-23', 'order': 84, 'powers': [246, 125, 383, 47], 'representative': 2410, 'size': 2}
  • id: 107519772
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 387, 'group_counter': 15, 'group_order': 4200, 'label': '84A29', 'order': 84, 'powers': [244, 121, 386, 45], 'representative': 3050, 'size': 2}
  • id: 107519773
    {'aut_label': '84A1', 'centralizer': '2.a1.a1', 'counter': 388, 'group_counter': 15, 'group_order': 4200, 'label': '84A-29', 'order': 84, 'powers': [243, 122, 385, 44], 'representative': 1270, 'size': 2}
  • id: 107519774
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 389, 'group_counter': 15, 'group_order': 4200, 'label': '105A1', 'order': 105, 'powers': [391, 155, 107, 57], 'representative': 2408, 'size': 2}
  • id: 107519776
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 390, 'group_counter': 15, 'group_order': 4200, 'label': '105A-1', 'order': 105, 'powers': [392, 156, 108, 58], 'representative': 1912, 'size': 2}
  • id: 107519777
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 391, 'group_counter': 15, 'group_order': 4200, 'label': '105A2', 'order': 105, 'powers': [393, 157, 109, 52], 'representative': 616, 'size': 2}
  • id: 107519778
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 392, 'group_counter': 15, 'group_order': 4200, 'label': '105A-2', 'order': 105, 'powers': [394, 158, 110, 51], 'representative': 3704, 'size': 2}
  • id: 107519779
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 393, 'group_counter': 15, 'group_order': 4200, 'label': '105A4', 'order': 105, 'powers': [395, 161, 111, 54], 'representative': 1232, 'size': 2}
  • id: 107519780
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 394, 'group_counter': 15, 'group_order': 4200, 'label': '105A-4', 'order': 105, 'powers': [396, 162, 112, 53], 'representative': 3088, 'size': 2}
  • id: 107519781
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 395, 'group_counter': 15, 'group_order': 4200, 'label': '105A8', 'order': 105, 'powers': [399, 163, 108, 56], 'representative': 2464, 'size': 2}
  • id: 107519782
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 396, 'group_counter': 15, 'group_order': 4200, 'label': '105A-8', 'order': 105, 'powers': [400, 164, 107, 55], 'representative': 1856, 'size': 2}
  • id: 107519783
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 397, 'group_counter': 15, 'group_order': 4200, 'label': '105A13', 'order': 105, 'powers': [404, 163, 107, 51], 'representative': 1904, 'size': 2}
  • id: 107519784
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 398, 'group_counter': 15, 'group_order': 4200, 'label': '105A-13', 'order': 105, 'powers': [403, 164, 108, 52], 'representative': 2416, 'size': 2}
  • id: 107519785
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 399, 'group_counter': 15, 'group_order': 4200, 'label': '105A16', 'order': 105, 'powers': [401, 166, 110, 57], 'representative': 608, 'size': 2}
  • id: 107519788
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 400, 'group_counter': 15, 'group_order': 4200, 'label': '105A-16', 'order': 105, 'powers': [402, 165, 109, 58], 'representative': 3712, 'size': 2}
  • id: 107519789
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 401, 'group_counter': 15, 'group_order': 4200, 'label': '105A17', 'order': 105, 'powers': [409, 160, 112, 52], 'representative': 3016, 'size': 2}
  • id: 107519790
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 402, 'group_counter': 15, 'group_order': 4200, 'label': '105A-17', 'order': 105, 'powers': [410, 159, 111, 51], 'representative': 1304, 'size': 2}
  • id: 107519791
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 403, 'group_counter': 15, 'group_order': 4200, 'label': '105A19', 'order': 105, 'powers': [411, 165, 110, 54], 'representative': 3632, 'size': 2}
  • id: 107519792
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 404, 'group_counter': 15, 'group_order': 4200, 'label': '105A-19', 'order': 105, 'powers': [412, 166, 109, 53], 'representative': 688, 'size': 2}
  • id: 107519793
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 405, 'group_counter': 15, 'group_order': 4200, 'label': '105A23', 'order': 105, 'powers': [407, 158, 109, 56], 'representative': 664, 'size': 2}
  • id: 107519794
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 406, 'group_counter': 15, 'group_order': 4200, 'label': '105A-23', 'order': 105, 'powers': [408, 157, 110, 55], 'representative': 3656, 'size': 2}
  • id: 107519795
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 407, 'group_counter': 15, 'group_order': 4200, 'label': '105A31', 'order': 105, 'powers': [398, 162, 111, 57], 'representative': 3008, 'size': 2}
  • id: 107519796
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 408, 'group_counter': 15, 'group_order': 4200, 'label': '105A-31', 'order': 105, 'powers': [397, 161, 112, 58], 'representative': 1312, 'size': 2}
  • id: 107519797
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 409, 'group_counter': 15, 'group_order': 4200, 'label': '105A34', 'order': 105, 'powers': [405, 156, 107, 54], 'representative': 1832, 'size': 2}
  • id: 107519799
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 410, 'group_counter': 15, 'group_order': 4200, 'label': '105A-34', 'order': 105, 'powers': [406, 155, 108, 53], 'representative': 2488, 'size': 2}
  • id: 107519800
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 411, 'group_counter': 15, 'group_order': 4200, 'label': '105A38', 'order': 105, 'powers': [389, 159, 112, 56], 'representative': 3064, 'size': 2}
  • id: 107519801
    {'aut_label': '105A1', 'centralizer': '2.a1.a1', 'counter': 412, 'group_counter': 15, 'group_order': 4200, 'label': '105A-38', 'order': 105, 'powers': [390, 160, 111, 55], 'representative': 1256, 'size': 2}
  • id: 107519802
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 413, 'group_counter': 15, 'group_order': 4200, 'label': '105B1', 'order': 105, 'powers': [415, 167, 112, 59], 'representative': 520, 'size': 2}
  • id: 107519803
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 414, 'group_counter': 15, 'group_order': 4200, 'label': '105B-1', 'order': 105, 'powers': [416, 167, 111, 60], 'representative': 3800, 'size': 2}
  • id: 107519804
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 415, 'group_counter': 15, 'group_order': 4200, 'label': '105B2', 'order': 105, 'powers': [417, 168, 107, 61], 'representative': 1040, 'size': 2}
  • id: 107519805
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 416, 'group_counter': 15, 'group_order': 4200, 'label': '105B-2', 'order': 105, 'powers': [418, 168, 108, 62], 'representative': 3280, 'size': 2}
  • id: 107519806
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 417, 'group_counter': 15, 'group_order': 4200, 'label': '105B4', 'order': 105, 'powers': [419, 170, 109, 59], 'representative': 1960, 'size': 2}
  • id: 107519807
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 418, 'group_counter': 15, 'group_order': 4200, 'label': '105B-4', 'order': 105, 'powers': [420, 170, 110, 60], 'representative': 2360, 'size': 2}
  • id: 107519808
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 419, 'group_counter': 15, 'group_order': 4200, 'label': '105B8', 'order': 105, 'powers': [425, 172, 111, 61], 'representative': 3920, 'size': 2}
  • id: 107519810
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 420, 'group_counter': 15, 'group_order': 4200, 'label': '105B-8', 'order': 105, 'powers': [426, 172, 112, 62], 'representative': 400, 'size': 2}
  • id: 107519811
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 421, 'group_counter': 15, 'group_order': 4200, 'label': '105B11', 'order': 105, 'powers': [423, 174, 110, 60], 'representative': 1160, 'size': 2}
  • id: 107519812
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 422, 'group_counter': 15, 'group_order': 4200, 'label': '105B-11', 'order': 105, 'powers': [424, 174, 109, 59], 'representative': 3160, 'size': 2}
  • id: 107519813
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 423, 'group_counter': 15, 'group_order': 4200, 'label': '105B13', 'order': 105, 'powers': [431, 176, 112, 62], 'representative': 2080, 'size': 2}
  • id: 107519814
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 424, 'group_counter': 15, 'group_order': 4200, 'label': '105B-13', 'order': 105, 'powers': [432, 176, 111, 61], 'representative': 2240, 'size': 2}
  • id: 107519815
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 425, 'group_counter': 15, 'group_order': 4200, 'label': '105B16', 'order': 105, 'powers': [435, 177, 108, 59], 'representative': 3520, 'size': 2}
  • id: 107519816
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 426, 'group_counter': 15, 'group_order': 4200, 'label': '105B-16', 'order': 105, 'powers': [436, 177, 107, 60], 'representative': 800, 'size': 2}
  • id: 107519817
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 427, 'group_counter': 15, 'group_order': 4200, 'label': '105B17', 'order': 105, 'powers': [413, 178, 110, 61], 'representative': 4040, 'size': 2}
  • id: 107519818
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 428, 'group_counter': 15, 'group_order': 4200, 'label': '105B-17', 'order': 105, 'powers': [414, 178, 109, 62], 'representative': 280, 'size': 2}
  • id: 107519819
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 429, 'group_counter': 15, 'group_order': 4200, 'label': '105B23', 'order': 105, 'powers': [422, 175, 107, 61], 'representative': 2720, 'size': 2}
  • id: 107519821
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 430, 'group_counter': 15, 'group_order': 4200, 'label': '105B-23', 'order': 105, 'powers': [421, 175, 108, 62], 'representative': 1600, 'size': 2}
  • id: 107519822
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 431, 'group_counter': 15, 'group_order': 4200, 'label': '105B26', 'order': 105, 'powers': [428, 173, 107, 60], 'representative': 4160, 'size': 2}
  • id: 107519823
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 432, 'group_counter': 15, 'group_order': 4200, 'label': '105B-26', 'order': 105, 'powers': [427, 173, 108, 59], 'representative': 160, 'size': 2}
  • id: 107519824
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 433, 'group_counter': 15, 'group_order': 4200, 'label': '105B29', 'order': 105, 'powers': [430, 171, 111, 60], 'representative': 1400, 'size': 2}
  • id: 107519825
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 434, 'group_counter': 15, 'group_order': 4200, 'label': '105B-29', 'order': 105, 'powers': [429, 171, 112, 59], 'representative': 2920, 'size': 2}
  • id: 107519826
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 435, 'group_counter': 15, 'group_order': 4200, 'label': '105B32', 'order': 105, 'powers': [434, 169, 110, 61], 'representative': 2840, 'size': 2}
  • id: 107519827
    {'aut_label': '105B1', 'centralizer': '2.a1.a1', 'counter': 436, 'group_counter': 15, 'group_order': 4200, 'label': '105B-32', 'order': 105, 'powers': [433, 169, 109, 62], 'representative': 1480, 'size': 2}
  • id: 107519828
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 437, 'group_counter': 15, 'group_order': 4200, 'label': '105C1', 'order': 105, 'powers': [439, 179, 111, 63], 'representative': 488, 'size': 2}
  • id: 107519829
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 438, 'group_counter': 15, 'group_order': 4200, 'label': '105C-1', 'order': 105, 'powers': [440, 180, 112, 64], 'representative': 3832, 'size': 2}
  • id: 107519830
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 439, 'group_counter': 15, 'group_order': 4200, 'label': '105C2', 'order': 105, 'powers': [441, 181, 108, 65], 'representative': 976, 'size': 2}
  • id: 107519832
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 440, 'group_counter': 15, 'group_order': 4200, 'label': '105C-2', 'order': 105, 'powers': [442, 182, 107, 66], 'representative': 3344, 'size': 2}
  • id: 107519833
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 441, 'group_counter': 15, 'group_order': 4200, 'label': '105C4', 'order': 105, 'powers': [443, 185, 110, 67], 'representative': 1952, 'size': 2}
  • id: 107519834
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 442, 'group_counter': 15, 'group_order': 4200, 'label': '105C-4', 'order': 105, 'powers': [444, 186, 109, 68], 'representative': 2368, 'size': 2}
  • id: 107519835
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 443, 'group_counter': 15, 'group_order': 4200, 'label': '105C8', 'order': 105, 'powers': [449, 189, 112, 70], 'representative': 3904, 'size': 2}
  • id: 107519836
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 444, 'group_counter': 15, 'group_order': 4200, 'label': '105C-8', 'order': 105, 'powers': [450, 190, 111, 69], 'representative': 416, 'size': 2}
  • id: 107519837
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 445, 'group_counter': 15, 'group_order': 4200, 'label': '105C11', 'order': 105, 'powers': [455, 193, 109, 68], 'representative': 1168, 'size': 2}
  • id: 107519838
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 446, 'group_counter': 15, 'group_order': 4200, 'label': '105C-11', 'order': 105, 'powers': [456, 194, 110, 67], 'representative': 3152, 'size': 2}
  • id: 107519839
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 447, 'group_counter': 15, 'group_order': 4200, 'label': '105C13', 'order': 105, 'powers': [459, 197, 111, 66], 'representative': 2144, 'size': 2}
  • id: 107519840
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 448, 'group_counter': 15, 'group_order': 4200, 'label': '105C-13', 'order': 105, 'powers': [460, 198, 112, 65], 'representative': 2176, 'size': 2}
  • id: 107519841
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 449, 'group_counter': 15, 'group_order': 4200, 'label': '105C16', 'order': 105, 'powers': [465, 199, 107, 63], 'representative': 3488, 'size': 2}
  • id: 107519843
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 450, 'group_counter': 15, 'group_order': 4200, 'label': '105C-16', 'order': 105, 'powers': [466, 200, 108, 64], 'representative': 832, 'size': 2}
  • id: 107519844
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 451, 'group_counter': 15, 'group_order': 4200, 'label': '105C17', 'order': 105, 'powers': [467, 201, 109, 65], 'representative': 3976, 'size': 2}
  • id: 107519845
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 452, 'group_counter': 15, 'group_order': 4200, 'label': '105C-17', 'order': 105, 'powers': [468, 202, 110, 66], 'representative': 344, 'size': 2}
  • id: 107519846
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 453, 'group_counter': 15, 'group_order': 4200, 'label': '105C19', 'order': 105, 'powers': [471, 200, 107, 67], 'representative': 752, 'size': 2}
  • id: 107519847
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 454, 'group_counter': 15, 'group_order': 4200, 'label': '105C-19', 'order': 105, 'powers': [472, 199, 108, 68], 'representative': 3568, 'size': 2}
  • id: 107519848
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 455, 'group_counter': 15, 'group_order': 4200, 'label': '105C22', 'order': 105, 'powers': [477, 198, 111, 69], 'representative': 2216, 'size': 2}
  • id: 107519849
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 456, 'group_counter': 15, 'group_order': 4200, 'label': '105C-22', 'order': 105, 'powers': [478, 197, 112, 70], 'representative': 2104, 'size': 2}
  • id: 107519850
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 457, 'group_counter': 15, 'group_order': 4200, 'label': '105C23', 'order': 105, 'powers': [479, 196, 108, 70], 'representative': 2704, 'size': 2}
  • id: 107519851
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 458, 'group_counter': 15, 'group_order': 4200, 'label': '105C-23', 'order': 105, 'powers': [480, 195, 107, 69], 'representative': 1616, 'size': 2}
  • id: 107519852
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 459, 'group_counter': 15, 'group_order': 4200, 'label': '105C26', 'order': 105, 'powers': [483, 192, 108, 68], 'representative': 4168, 'size': 2}
  • id: 107519854
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 460, 'group_counter': 15, 'group_order': 4200, 'label': '105C-26', 'order': 105, 'powers': [484, 191, 107, 67], 'representative': 152, 'size': 2}
  • id: 107519855
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 461, 'group_counter': 15, 'group_order': 4200, 'label': '105C29', 'order': 105, 'powers': [482, 188, 112, 64], 'representative': 1432, 'size': 2}
  • id: 107519856
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 462, 'group_counter': 15, 'group_order': 4200, 'label': '105C-29', 'order': 105, 'powers': [481, 187, 111, 63], 'representative': 2888, 'size': 2}
  • id: 107519857
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 463, 'group_counter': 15, 'group_order': 4200, 'label': '105C31', 'order': 105, 'powers': [476, 186, 110, 63], 'representative': 2288, 'size': 2}
  • id: 107519858
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 464, 'group_counter': 15, 'group_order': 4200, 'label': '105C-31', 'order': 105, 'powers': [475, 185, 109, 64], 'representative': 2032, 'size': 2}
  • id: 107519859
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 465, 'group_counter': 15, 'group_order': 4200, 'label': '105C32', 'order': 105, 'powers': [474, 184, 109, 65], 'representative': 2776, 'size': 2}
  • id: 107519860
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 466, 'group_counter': 15, 'group_order': 4200, 'label': '105C-32', 'order': 105, 'powers': [473, 183, 110, 66], 'representative': 1544, 'size': 2}
  • id: 107519861
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 467, 'group_counter': 15, 'group_order': 4200, 'label': '105C34', 'order': 105, 'powers': [470, 180, 111, 67], 'representative': 3752, 'size': 2}
  • id: 107519862
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 468, 'group_counter': 15, 'group_order': 4200, 'label': '105C-34', 'order': 105, 'powers': [469, 179, 112, 68], 'representative': 568, 'size': 2}
  • id: 107519863
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 469, 'group_counter': 15, 'group_order': 4200, 'label': '105C37', 'order': 105, 'powers': [464, 181, 107, 69], 'representative': 1016, 'size': 2}
  • id: 107519865
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 470, 'group_counter': 15, 'group_order': 4200, 'label': '105C-37', 'order': 105, 'powers': [463, 182, 108, 70], 'representative': 3304, 'size': 2}
  • id: 107519866
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 471, 'group_counter': 15, 'group_order': 4200, 'label': '105C38', 'order': 105, 'powers': [462, 183, 109, 70], 'representative': 1504, 'size': 2}
  • id: 107519867
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 472, 'group_counter': 15, 'group_order': 4200, 'label': '105C-38', 'order': 105, 'powers': [461, 184, 110, 69], 'representative': 2816, 'size': 2}
  • id: 107519868
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 473, 'group_counter': 15, 'group_order': 4200, 'label': '105C41', 'order': 105, 'powers': [458, 187, 112, 68], 'representative': 2968, 'size': 2}
  • id: 107519869
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 474, 'group_counter': 15, 'group_order': 4200, 'label': '105C-41', 'order': 105, 'powers': [457, 188, 111, 67], 'representative': 1352, 'size': 2}
  • id: 107519870
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 475, 'group_counter': 15, 'group_order': 4200, 'label': '105C43', 'order': 105, 'powers': [454, 189, 111, 66], 'representative': 3944, 'size': 2}
  • id: 107519871
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 476, 'group_counter': 15, 'group_order': 4200, 'label': '105C-43', 'order': 105, 'powers': [453, 190, 112, 65], 'representative': 376, 'size': 2}
  • id: 107519872
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 477, 'group_counter': 15, 'group_order': 4200, 'label': '105C44', 'order': 105, 'powers': [452, 191, 108, 64], 'representative': 232, 'size': 2}
  • id: 107519873
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 478, 'group_counter': 15, 'group_order': 4200, 'label': '105C-44', 'order': 105, 'powers': [451, 192, 107, 63], 'representative': 4088, 'size': 2}
  • id: 107519874
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 479, 'group_counter': 15, 'group_order': 4200, 'label': '105C46', 'order': 105, 'powers': [448, 193, 110, 63], 'representative': 1088, 'size': 2}
  • id: 107519876
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 480, 'group_counter': 15, 'group_order': 4200, 'label': '105C-46', 'order': 105, 'powers': [447, 194, 109, 64], 'representative': 3232, 'size': 2}
  • id: 107519877
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 481, 'group_counter': 15, 'group_order': 4200, 'label': '105C47', 'order': 105, 'powers': [446, 195, 108, 65], 'representative': 1576, 'size': 2}
  • id: 107519878
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 482, 'group_counter': 15, 'group_order': 4200, 'label': '105C-47', 'order': 105, 'powers': [445, 196, 107, 66], 'representative': 2744, 'size': 2}
  • id: 107519879
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 483, 'group_counter': 15, 'group_order': 4200, 'label': '105C52', 'order': 105, 'powers': [438, 201, 110, 69], 'representative': 4016, 'size': 2}
  • id: 107519880
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 484, 'group_counter': 15, 'group_order': 4200, 'label': '105C-52', 'order': 105, 'powers': [437, 202, 109, 70], 'representative': 304, 'size': 2}
  • id: 107519881
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 485, 'group_counter': 15, 'group_order': 4200, 'label': '105D1', 'order': 105, 'powers': [487, 203, 107, 71], 'representative': 968, 'size': 2}
  • id: 107519882
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 486, 'group_counter': 15, 'group_order': 4200, 'label': '105D-1', 'order': 105, 'powers': [488, 204, 108, 72], 'representative': 3352, 'size': 2}
  • id: 107519883
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 487, 'group_counter': 15, 'group_order': 4200, 'label': '105D2', 'order': 105, 'powers': [489, 205, 109, 73], 'representative': 1936, 'size': 2}
  • id: 107519884
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 488, 'group_counter': 15, 'group_order': 4200, 'label': '105D-2', 'order': 105, 'powers': [490, 206, 110, 74], 'representative': 2384, 'size': 2}
  • id: 107519885
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 489, 'group_counter': 15, 'group_order': 4200, 'label': '105D4', 'order': 105, 'powers': [491, 209, 111, 75], 'representative': 3872, 'size': 2}
  • id: 107519887
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 490, 'group_counter': 15, 'group_order': 4200, 'label': '105D-4', 'order': 105, 'powers': [492, 210, 112, 76], 'representative': 448, 'size': 2}
  • id: 107519888
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 491, 'group_counter': 15, 'group_order': 4200, 'label': '105D8', 'order': 105, 'powers': [497, 213, 108, 78], 'representative': 3544, 'size': 2}
  • id: 107519889
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 492, 'group_counter': 15, 'group_order': 4200, 'label': '105D-8', 'order': 105, 'powers': [498, 214, 107, 77], 'representative': 776, 'size': 2}
  • id: 107519890
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 493, 'group_counter': 15, 'group_order': 4200, 'label': '105D11', 'order': 105, 'powers': [503, 217, 112, 76], 'representative': 2248, 'size': 2}
  • id: 107519891
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 494, 'group_counter': 15, 'group_order': 4200, 'label': '105D-11', 'order': 105, 'powers': [504, 218, 111, 75], 'representative': 2072, 'size': 2}
  • id: 107519892
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 495, 'group_counter': 15, 'group_order': 4200, 'label': '105D13', 'order': 105, 'powers': [507, 221, 107, 74], 'representative': 4184, 'size': 2}
  • id: 107519893
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 496, 'group_counter': 15, 'group_order': 4200, 'label': '105D-13', 'order': 105, 'powers': [508, 222, 108, 73], 'representative': 136, 'size': 2}
  • id: 107519894
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 497, 'group_counter': 15, 'group_order': 4200, 'label': '105D16', 'order': 105, 'powers': [513, 223, 110, 71], 'representative': 2768, 'size': 2}
  • id: 107519895
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 498, 'group_counter': 15, 'group_order': 4200, 'label': '105D-16', 'order': 105, 'powers': [514, 224, 109, 72], 'representative': 1552, 'size': 2}
  • id: 107519896
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 499, 'group_counter': 15, 'group_order': 4200, 'label': '105D17', 'order': 105, 'powers': [515, 225, 112, 73], 'representative': 3736, 'size': 2}
  • id: 107519899
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 500, 'group_counter': 15, 'group_order': 4200, 'label': '105D-17', 'order': 105, 'powers': [516, 226, 111, 74], 'representative': 584, 'size': 2}
  • id: 107519900
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 501, 'group_counter': 15, 'group_order': 4200, 'label': '105D19', 'order': 105, 'powers': [519, 224, 110, 75], 'representative': 1472, 'size': 2}
  • id: 107519901
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 502, 'group_counter': 15, 'group_order': 4200, 'label': '105D-19', 'order': 105, 'powers': [520, 223, 109, 76], 'representative': 2848, 'size': 2}
  • id: 107519902
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 503, 'group_counter': 15, 'group_order': 4200, 'label': '105D22', 'order': 105, 'powers': [525, 222, 107, 77], 'representative': 176, 'size': 2}
  • id: 107519903
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 504, 'group_counter': 15, 'group_order': 4200, 'label': '105D-22', 'order': 105, 'powers': [526, 221, 108, 78], 'representative': 4144, 'size': 2}
  • id: 107519904
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 505, 'group_counter': 15, 'group_order': 4200, 'label': '105D23', 'order': 105, 'powers': [527, 220, 109, 78], 'representative': 1144, 'size': 2}
  • id: 107519905
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 506, 'group_counter': 15, 'group_order': 4200, 'label': '105D-23', 'order': 105, 'powers': [528, 219, 110, 77], 'representative': 3176, 'size': 2}
  • id: 107519906
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 507, 'group_counter': 15, 'group_order': 4200, 'label': '105D26', 'order': 105, 'powers': [531, 216, 109, 76], 'representative': 4048, 'size': 2}
  • id: 107519907
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 508, 'group_counter': 15, 'group_order': 4200, 'label': '105D-26', 'order': 105, 'powers': [532, 215, 110, 75], 'representative': 272, 'size': 2}
  • id: 107519908
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 509, 'group_counter': 15, 'group_order': 4200, 'label': '105D29', 'order': 105, 'powers': [530, 212, 108, 72], 'representative': 2752, 'size': 2}
  • id: 107519910
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 510, 'group_counter': 15, 'group_order': 4200, 'label': '105D-29', 'order': 105, 'powers': [529, 211, 107, 71], 'representative': 1568, 'size': 2}
  • id: 107519911
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 511, 'group_counter': 15, 'group_order': 4200, 'label': '105D31', 'order': 105, 'powers': [524, 210, 111, 71], 'representative': 368, 'size': 2}
  • id: 107519912
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 512, 'group_counter': 15, 'group_order': 4200, 'label': '105D-31', 'order': 105, 'powers': [523, 209, 112, 72], 'representative': 3952, 'size': 2}
  • id: 107519913
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 513, 'group_counter': 15, 'group_order': 4200, 'label': '105D32', 'order': 105, 'powers': [522, 208, 112, 73], 'representative': 1336, 'size': 2}
  • id: 107519914
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 514, 'group_counter': 15, 'group_order': 4200, 'label': '105D-32', 'order': 105, 'powers': [521, 207, 111, 74], 'representative': 2984, 'size': 2}
  • id: 107519915
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 515, 'group_counter': 15, 'group_order': 4200, 'label': '105D34', 'order': 105, 'powers': [518, 204, 107, 75], 'representative': 3272, 'size': 2}
  • id: 107519916
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 516, 'group_counter': 15, 'group_order': 4200, 'label': '105D-34', 'order': 105, 'powers': [517, 203, 108, 76], 'representative': 1048, 'size': 2}
  • id: 107519917
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 517, 'group_counter': 15, 'group_order': 4200, 'label': '105D37', 'order': 105, 'powers': [512, 205, 110, 77], 'representative': 1976, 'size': 2}
  • id: 107519918
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 518, 'group_counter': 15, 'group_order': 4200, 'label': '105D-37', 'order': 105, 'powers': [511, 206, 109, 78], 'representative': 2344, 'size': 2}
  • id: 107519919
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 519, 'group_counter': 15, 'group_order': 4200, 'label': '105D38', 'order': 105, 'powers': [510, 207, 112, 78], 'representative': 2944, 'size': 2}
  • id: 107519921
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 520, 'group_counter': 15, 'group_order': 4200, 'label': '105D-38', 'order': 105, 'powers': [509, 208, 111, 77], 'representative': 1376, 'size': 2}
  • id: 107519922
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 521, 'group_counter': 15, 'group_order': 4200, 'label': '105D41', 'order': 105, 'powers': [506, 211, 108, 76], 'representative': 1648, 'size': 2}
  • id: 107519923
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 522, 'group_counter': 15, 'group_order': 4200, 'label': '105D-41', 'order': 105, 'powers': [505, 212, 107, 75], 'representative': 2672, 'size': 2}
  • id: 107519924
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 523, 'group_counter': 15, 'group_order': 4200, 'label': '105D43', 'order': 105, 'powers': [502, 213, 107, 74], 'representative': 3584, 'size': 2}
  • id: 107519925
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 524, 'group_counter': 15, 'group_order': 4200, 'label': '105D-43', 'order': 105, 'powers': [501, 214, 108, 73], 'representative': 736, 'size': 2}
  • id: 107519926
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 525, 'group_counter': 15, 'group_order': 4200, 'label': '105D44', 'order': 105, 'powers': [500, 215, 109, 72], 'representative': 352, 'size': 2}
  • id: 107519927
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 526, 'group_counter': 15, 'group_order': 4200, 'label': '105D-44', 'order': 105, 'powers': [499, 216, 110, 71], 'representative': 3968, 'size': 2}
  • id: 107519928
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 527, 'group_counter': 15, 'group_order': 4200, 'label': '105D46', 'order': 105, 'powers': [496, 217, 111, 71], 'representative': 2168, 'size': 2}
  • id: 107519929
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 528, 'group_counter': 15, 'group_order': 4200, 'label': '105D-46', 'order': 105, 'powers': [495, 218, 112, 72], 'representative': 2152, 'size': 2}
  • id: 107519930
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 529, 'group_counter': 15, 'group_order': 4200, 'label': '105D47', 'order': 105, 'powers': [494, 219, 109, 73], 'representative': 3136, 'size': 2}
  • id: 107519932
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 530, 'group_counter': 15, 'group_order': 4200, 'label': '105D-47', 'order': 105, 'powers': [493, 220, 110, 74], 'representative': 1184, 'size': 2}
  • id: 107519933
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 531, 'group_counter': 15, 'group_order': 4200, 'label': '105D52', 'order': 105, 'powers': [486, 225, 111, 77], 'representative': 3776, 'size': 2}
  • id: 107519934
    {'aut_label': '105C1', 'centralizer': '2.a1.a1', 'counter': 532, 'group_counter': 15, 'group_order': 4200, 'label': '105D-52', 'order': 105, 'powers': [485, 226, 112, 78], 'representative': 544, 'size': 2}
  • id: 107519935
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 533, 'group_counter': 15, 'group_order': 4200, 'label': '120A1', 'order': 120, 'powers': [249, 227, 113, 535], 'representative': 1, 'size': 35}
  • id: 107519936
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 534, 'group_counter': 15, 'group_order': 4200, 'label': '120A-1', 'order': 120, 'powers': [250, 228, 114, 536], 'representative': 119, 'size': 35}
  • id: 107519937
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 535, 'group_counter': 15, 'group_order': 4200, 'label': '120A7', 'order': 120, 'powers': [251, 231, 117, 559], 'representative': 7, 'size': 35}
  • id: 107519938
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 536, 'group_counter': 15, 'group_order': 4200, 'label': '120A-7', 'order': 120, 'powers': [252, 232, 118, 560], 'representative': 113, 'size': 35}
  • id: 107519939
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 537, 'group_counter': 15, 'group_order': 4200, 'label': '120A11', 'order': 120, 'powers': [253, 235, 119, 556], 'representative': 11, 'size': 35}
  • id: 107519940
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 538, 'group_counter': 15, 'group_order': 4200, 'label': '120A-11', 'order': 120, 'powers': [254, 236, 120, 555], 'representative': 109, 'size': 35}
  • id: 107519941
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 539, 'group_counter': 15, 'group_order': 4200, 'label': '120A13', 'order': 120, 'powers': [255, 237, 120, 548], 'representative': 13, 'size': 35}
  • id: 107519943
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 540, 'group_counter': 15, 'group_order': 4200, 'label': '120A-13', 'order': 120, 'powers': [256, 238, 119, 547], 'representative': 107, 'size': 35}
  • id: 107519944
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 541, 'group_counter': 15, 'group_order': 4200, 'label': '120A17', 'order': 120, 'powers': [257, 239, 118, 534], 'representative': 17, 'size': 35}
  • id: 107519945
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 542, 'group_counter': 15, 'group_order': 4200, 'label': '120A-17', 'order': 120, 'powers': [258, 240, 117, 533], 'representative': 103, 'size': 35}
  • id: 107519946
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 543, 'group_counter': 15, 'group_order': 4200, 'label': '120A19', 'order': 120, 'powers': [259, 241, 116, 539], 'representative': 19, 'size': 35}
  • id: 107519947
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 544, 'group_counter': 15, 'group_order': 4200, 'label': '120A-19', 'order': 120, 'powers': [260, 242, 115, 540], 'representative': 101, 'size': 35}
  • id: 107519948
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 545, 'group_counter': 15, 'group_order': 4200, 'label': '120A23', 'order': 120, 'powers': [261, 240, 114, 553], 'representative': 23, 'size': 35}
  • id: 107519949
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 546, 'group_counter': 15, 'group_order': 4200, 'label': '120A-23', 'order': 120, 'powers': [262, 239, 113, 554], 'representative': 97, 'size': 35}
  • id: 107519950
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 547, 'group_counter': 15, 'group_order': 4200, 'label': '120A29', 'order': 120, 'powers': [263, 236, 115, 552], 'representative': 29, 'size': 35}
  • id: 107519951
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 548, 'group_counter': 15, 'group_order': 4200, 'label': '120A-29', 'order': 120, 'powers': [264, 235, 116, 551], 'representative': 91, 'size': 35}
  • id: 107519952
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 549, 'group_counter': 15, 'group_order': 4200, 'label': '120A31', 'order': 120, 'powers': [264, 234, 117, 546], 'representative': 31, 'size': 35}
  • id: 107519954
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 550, 'group_counter': 15, 'group_order': 4200, 'label': '120A-31', 'order': 120, 'powers': [263, 233, 118, 545], 'representative': 89, 'size': 35}
  • id: 107519955
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 551, 'group_counter': 15, 'group_order': 4200, 'label': '120A37', 'order': 120, 'powers': [262, 230, 120, 543], 'representative': 37, 'size': 35}
  • id: 107519956
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 552, 'group_counter': 15, 'group_order': 4200, 'label': '120A-37', 'order': 120, 'powers': [261, 229, 119, 544], 'representative': 83, 'size': 35}
  • id: 107519957
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 553, 'group_counter': 15, 'group_order': 4200, 'label': '120A41', 'order': 120, 'powers': [260, 227, 118, 557], 'representative': 41, 'size': 35}
  • id: 107519958
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 554, 'group_counter': 15, 'group_order': 4200, 'label': '120A-41', 'order': 120, 'powers': [259, 228, 117, 558], 'representative': 79, 'size': 35}
  • id: 107519959
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 555, 'group_counter': 15, 'group_order': 4200, 'label': '120A43', 'order': 120, 'powers': [258, 229, 116, 564], 'representative': 43, 'size': 35}
  • id: 107519960
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 556, 'group_counter': 15, 'group_order': 4200, 'label': '120A-43', 'order': 120, 'powers': [257, 230, 115, 563], 'representative': 77, 'size': 35}
  • id: 107519961
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 557, 'group_counter': 15, 'group_order': 4200, 'label': '120A47', 'order': 120, 'powers': [256, 231, 114, 550], 'representative': 47, 'size': 35}
  • id: 107519962
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 558, 'group_counter': 15, 'group_order': 4200, 'label': '120A-47', 'order': 120, 'powers': [255, 232, 113, 549], 'representative': 73, 'size': 35}
  • id: 107519963
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 559, 'group_counter': 15, 'group_order': 4200, 'label': '120A49', 'order': 120, 'powers': [254, 233, 113, 542], 'representative': 49, 'size': 35}
  • id: 107519965
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 560, 'group_counter': 15, 'group_order': 4200, 'label': '120A-49', 'order': 120, 'powers': [253, 234, 114, 541], 'representative': 71, 'size': 35}
  • id: 107519966
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 561, 'group_counter': 15, 'group_order': 4200, 'label': '120A53', 'order': 120, 'powers': [252, 237, 115, 537], 'representative': 53, 'size': 35}
  • id: 107519967
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 562, 'group_counter': 15, 'group_order': 4200, 'label': '120A-53', 'order': 120, 'powers': [251, 238, 116, 538], 'representative': 67, 'size': 35}
  • id: 107519968
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 563, 'group_counter': 15, 'group_order': 4200, 'label': '120A59', 'order': 120, 'powers': [250, 241, 119, 561], 'representative': 59, 'size': 35}
  • id: 107519969
    {'aut_label': '120A1', 'centralizer': '35.a1.a1', 'counter': 564, 'group_counter': 15, 'group_order': 4200, 'label': '120A-59', 'order': 120, 'powers': [249, 242, 120, 562], 'representative': 61, 'size': 35}
  • id: 107519970
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 565, 'group_counter': 15, 'group_order': 4200, 'label': '140A1', 'order': 140, 'powers': [305, 567, 121, 83], 'representative': 1806, 'size': 2}
  • id: 107519971
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 566, 'group_counter': 15, 'group_order': 4200, 'label': '140A-1', 'order': 140, 'powers': [306, 568, 122, 84], 'representative': 2514, 'size': 2}
  • id: 107519972
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 567, 'group_counter': 15, 'group_order': 4200, 'label': '140A3', 'order': 140, 'powers': [307, 569, 123, 79], 'representative': 1218, 'size': 2}
  • id: 107519973
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 568, 'group_counter': 15, 'group_order': 4200, 'label': '140A-3', 'order': 140, 'powers': [308, 570, 124, 80], 'representative': 3102, 'size': 2}
  • id: 107519974
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 569, 'group_counter': 15, 'group_order': 4200, 'label': '140A9', 'order': 140, 'powers': [309, 574, 125, 81], 'representative': 3654, 'size': 2}
  • id: 107519976
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 570, 'group_counter': 15, 'group_order': 4200, 'label': '140A-9', 'order': 140, 'powers': [310, 573, 126, 82], 'representative': 666, 'size': 2}
  • id: 107519977
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 571, 'group_counter': 15, 'group_order': 4200, 'label': '140A11', 'order': 140, 'powers': [311, 581, 123, 82], 'representative': 3066, 'size': 2}
  • id: 107519978
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 572, 'group_counter': 15, 'group_order': 4200, 'label': '140A-11', 'order': 140, 'powers': [312, 582, 124, 81], 'representative': 1254, 'size': 2}
  • id: 107519979
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 573, 'group_counter': 15, 'group_order': 4200, 'label': '140A13', 'order': 140, 'powers': [313, 583, 121, 86], 'representative': 2478, 'size': 2}
  • id: 107519980
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 574, 'group_counter': 15, 'group_order': 4200, 'label': '140A-13', 'order': 140, 'powers': [314, 584, 122, 85], 'representative': 1842, 'size': 2}
  • id: 107519981
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 575, 'group_counter': 15, 'group_order': 4200, 'label': '140A19', 'order': 140, 'powers': [309, 586, 126, 84], 'representative': 714, 'size': 2}
  • id: 107519982
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 576, 'group_counter': 15, 'group_order': 4200, 'label': '140A-19', 'order': 140, 'powers': [310, 585, 125, 83], 'representative': 3606, 'size': 2}
  • id: 107519983
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 577, 'group_counter': 15, 'group_order': 4200, 'label': '140A23', 'order': 140, 'powers': [315, 579, 126, 79], 'representative': 3618, 'size': 2}
  • id: 107519984
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 578, 'group_counter': 15, 'group_order': 4200, 'label': '140A-23', 'order': 140, 'powers': [316, 580, 125, 80], 'representative': 702, 'size': 2}
  • id: 107519985
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 579, 'group_counter': 15, 'group_order': 4200, 'label': '140A29', 'order': 140, 'powers': [306, 588, 121, 81], 'representative': 1854, 'size': 2}
  • id: 107519987
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 580, 'group_counter': 15, 'group_order': 4200, 'label': '140A-29', 'order': 140, 'powers': [305, 587, 122, 82], 'representative': 2466, 'size': 2}
  • id: 107519988
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 581, 'group_counter': 15, 'group_order': 4200, 'label': '140A33', 'order': 140, 'powers': [315, 566, 125, 86], 'representative': 678, 'size': 2}
  • id: 107519989
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 582, 'group_counter': 15, 'group_order': 4200, 'label': '140A-33', 'order': 140, 'powers': [316, 565, 126, 85], 'representative': 3642, 'size': 2}
  • id: 107519990
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 583, 'group_counter': 15, 'group_order': 4200, 'label': '140A39', 'order': 140, 'powers': [312, 578, 123, 84], 'representative': 3114, 'size': 2}
  • id: 107519991
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 584, 'group_counter': 15, 'group_order': 4200, 'label': '140A-39', 'order': 140, 'powers': [311, 577, 124, 83], 'representative': 1206, 'size': 2}
  • id: 107519992
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 585, 'group_counter': 15, 'group_order': 4200, 'label': '140A43', 'order': 140, 'powers': [313, 572, 122, 79], 'representative': 1818, 'size': 2}
  • id: 107519993
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 586, 'group_counter': 15, 'group_order': 4200, 'label': '140A-43', 'order': 140, 'powers': [314, 571, 121, 80], 'representative': 2502, 'size': 2}
  • id: 107519994
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 587, 'group_counter': 15, 'group_order': 4200, 'label': '140A53', 'order': 140, 'powers': [307, 575, 124, 86], 'representative': 3078, 'size': 2}
  • id: 107519995
    {'aut_label': '140A1', 'centralizer': '2.a1.a1', 'counter': 588, 'group_counter': 15, 'group_order': 4200, 'label': '140A-53', 'order': 140, 'powers': [308, 576, 123, 85], 'representative': 1242, 'size': 2}
  • id: 107519996
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 589, 'group_counter': 15, 'group_order': 4200, 'label': '140B1', 'order': 140, 'powers': [317, 591, 124, 87], 'representative': 390, 'size': 2}
  • id: 107519998
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 590, 'group_counter': 15, 'group_order': 4200, 'label': '140B-1', 'order': 140, 'powers': [317, 592, 123, 88], 'representative': 3930, 'size': 2}
  • id: 107519999
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 591, 'group_counter': 15, 'group_order': 4200, 'label': '140B3', 'order': 140, 'powers': [318, 593, 126, 89], 'representative': 1170, 'size': 2}
  • id: 107520000
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 592, 'group_counter': 15, 'group_order': 4200, 'label': '140B-3', 'order': 140, 'powers': [318, 594, 125, 90], 'representative': 3150, 'size': 2}
  • id: 107520001
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 593, 'group_counter': 15, 'group_order': 4200, 'label': '140B9', 'order': 140, 'powers': [319, 605, 121, 87], 'representative': 3270, 'size': 2}
  • id: 107520002
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 594, 'group_counter': 15, 'group_order': 4200, 'label': '140B-9', 'order': 140, 'powers': [319, 606, 122, 88], 'representative': 1050, 'size': 2}
  • id: 107520003
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 595, 'group_counter': 15, 'group_order': 4200, 'label': '140B11', 'order': 140, 'powers': [320, 611, 126, 88], 'representative': 4050, 'size': 2}
  • id: 107520004
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 596, 'group_counter': 15, 'group_order': 4200, 'label': '140B-11', 'order': 140, 'powers': [320, 612, 125, 87], 'representative': 270, 'size': 2}
  • id: 107520005
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 597, 'group_counter': 15, 'group_order': 4200, 'label': '140B13', 'order': 140, 'powers': [321, 609, 124, 90], 'representative': 510, 'size': 2}
  • id: 107520006
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 598, 'group_counter': 15, 'group_order': 4200, 'label': '140B-13', 'order': 140, 'powers': [321, 610, 123, 89], 'representative': 3810, 'size': 2}
  • id: 107520007
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 599, 'group_counter': 15, 'group_order': 4200, 'label': '140B17', 'order': 140, 'powers': [322, 601, 125, 90], 'representative': 1950, 'size': 2}
  • id: 107520010
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 600, 'group_counter': 15, 'group_order': 4200, 'label': '140B-17', 'order': 140, 'powers': [322, 602, 126, 89], 'representative': 2370, 'size': 2}
  • id: 107520011
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 601, 'group_counter': 15, 'group_order': 4200, 'label': '140B19', 'order': 140, 'powers': [323, 597, 122, 88], 'representative': 2730, 'size': 2}
  • id: 107520012
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 602, 'group_counter': 15, 'group_order': 4200, 'label': '140B-19', 'order': 140, 'powers': [323, 598, 121, 87], 'representative': 1590, 'size': 2}
  • id: 107520013
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 603, 'group_counter': 15, 'group_order': 4200, 'label': '140B23', 'order': 140, 'powers': [324, 589, 122, 89], 'representative': 4170, 'size': 2}
  • id: 107520014
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 604, 'group_counter': 15, 'group_order': 4200, 'label': '140B-23', 'order': 140, 'powers': [324, 590, 121, 90], 'representative': 150, 'size': 2}
  • id: 107520015
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 605, 'group_counter': 15, 'group_order': 4200, 'label': '140B27', 'order': 140, 'powers': [325, 596, 123, 89], 'representative': 1410, 'size': 2}
  • id: 107520016
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 606, 'group_counter': 15, 'group_order': 4200, 'label': '140B-27', 'order': 140, 'powers': [325, 595, 124, 90], 'representative': 2910, 'size': 2}
  • id: 107520017
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 607, 'group_counter': 15, 'group_order': 4200, 'label': '140B29', 'order': 140, 'powers': [326, 600, 124, 87], 'representative': 2070, 'size': 2}
  • id: 107520018
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 608, 'group_counter': 15, 'group_order': 4200, 'label': '140B-29', 'order': 140, 'powers': [326, 599, 123, 88], 'representative': 2250, 'size': 2}
  • id: 107520019
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 609, 'group_counter': 15, 'group_order': 4200, 'label': '140B31', 'order': 140, 'powers': [327, 604, 126, 88], 'representative': 2850, 'size': 2}
  • id: 107520021
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 610, 'group_counter': 15, 'group_order': 4200, 'label': '140B-31', 'order': 140, 'powers': [327, 603, 125, 87], 'representative': 1470, 'size': 2}
  • id: 107520022
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 611, 'group_counter': 15, 'group_order': 4200, 'label': '140B33', 'order': 140, 'powers': [328, 608, 121, 90], 'representative': 3510, 'size': 2}
  • id: 107520023
    {'aut_label': '140B1', 'centralizer': '2.a1.a1', 'counter': 612, 'group_counter': 15, 'group_order': 4200, 'label': '140B-33', 'order': 140, 'powers': [328, 607, 122, 89], 'representative': 810, 'size': 2}
  • id: 107520024
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 613, 'group_counter': 15, 'group_order': 4200, 'label': '140C1', 'order': 140, 'powers': [329, 615, 124, 91], 'representative': 366, 'size': 2}
  • id: 107520025
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 614, 'group_counter': 15, 'group_order': 4200, 'label': '140C-1', 'order': 140, 'powers': [330, 616, 123, 92], 'representative': 3954, 'size': 2}
  • id: 107520026
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 615, 'group_counter': 15, 'group_order': 4200, 'label': '140C3', 'order': 140, 'powers': [331, 617, 126, 93], 'representative': 1098, 'size': 2}
  • id: 107520027
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 616, 'group_counter': 15, 'group_order': 4200, 'label': '140C-3', 'order': 140, 'powers': [332, 618, 125, 94], 'representative': 3222, 'size': 2}
  • id: 107520028
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 617, 'group_counter': 15, 'group_order': 4200, 'label': '140C9', 'order': 140, 'powers': [333, 629, 121, 97], 'representative': 3294, 'size': 2}
  • id: 107520029
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 618, 'group_counter': 15, 'group_order': 4200, 'label': '140C-9', 'order': 140, 'powers': [334, 630, 122, 98], 'representative': 1026, 'size': 2}
  • id: 107520030
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 619, 'group_counter': 15, 'group_order': 4200, 'label': '140C11', 'order': 140, 'powers': [335, 635, 126, 98], 'representative': 4026, 'size': 2}
  • id: 107520032
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 620, 'group_counter': 15, 'group_order': 4200, 'label': '140C-11', 'order': 140, 'powers': [336, 636, 125, 97], 'representative': 294, 'size': 2}
  • id: 107520033
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 621, 'group_counter': 15, 'group_order': 4200, 'label': '140C13', 'order': 140, 'powers': [337, 639, 124, 96], 'representative': 558, 'size': 2}
  • id: 107520034
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 622, 'group_counter': 15, 'group_order': 4200, 'label': '140C-13', 'order': 140, 'powers': [338, 640, 123, 95], 'representative': 3762, 'size': 2}
  • id: 107520035
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 623, 'group_counter': 15, 'group_order': 4200, 'label': '140C17', 'order': 140, 'powers': [339, 647, 125, 94], 'representative': 2022, 'size': 2}
  • id: 107520036
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 624, 'group_counter': 15, 'group_order': 4200, 'label': '140C-17', 'order': 140, 'powers': [340, 648, 126, 93], 'representative': 2298, 'size': 2}
  • id: 107520037
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 625, 'group_counter': 15, 'group_order': 4200, 'label': '140C19', 'order': 140, 'powers': [341, 651, 122, 92], 'representative': 2754, 'size': 2}
  • id: 107520038
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 626, 'group_counter': 15, 'group_order': 4200, 'label': '140C-19', 'order': 140, 'powers': [342, 652, 121, 91], 'representative': 1566, 'size': 2}
  • id: 107520039
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 627, 'group_counter': 15, 'group_order': 4200, 'label': '140C23', 'order': 140, 'powers': [343, 659, 122, 93], 'representative': 4098, 'size': 2}
  • id: 107520040
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 628, 'group_counter': 15, 'group_order': 4200, 'label': '140C-23', 'order': 140, 'powers': [344, 660, 121, 94], 'representative': 222, 'size': 2}
  • id: 107520041
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 629, 'group_counter': 15, 'group_order': 4200, 'label': '140C27', 'order': 140, 'powers': [345, 654, 123, 95], 'representative': 1362, 'size': 2}
  • id: 107520043
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 630, 'group_counter': 15, 'group_order': 4200, 'label': '140C-27', 'order': 140, 'powers': [346, 653, 124, 96], 'representative': 2958, 'size': 2}
  • id: 107520044
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 631, 'group_counter': 15, 'group_order': 4200, 'label': '140C29', 'order': 140, 'powers': [347, 650, 124, 97], 'representative': 2094, 'size': 2}
  • id: 107520045
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 632, 'group_counter': 15, 'group_order': 4200, 'label': '140C-29', 'order': 140, 'powers': [348, 649, 123, 98], 'representative': 2226, 'size': 2}
  • id: 107520046
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 633, 'group_counter': 15, 'group_order': 4200, 'label': '140C31', 'order': 140, 'powers': [349, 646, 126, 98], 'representative': 2826, 'size': 2}
  • id: 107520047
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 634, 'group_counter': 15, 'group_order': 4200, 'label': '140C-31', 'order': 140, 'powers': [350, 645, 125, 97], 'representative': 1494, 'size': 2}
  • id: 107520048
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 635, 'group_counter': 15, 'group_order': 4200, 'label': '140C33', 'order': 140, 'powers': [351, 642, 121, 96], 'representative': 3558, 'size': 2}
  • id: 107520049
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 636, 'group_counter': 15, 'group_order': 4200, 'label': '140C-33', 'order': 140, 'powers': [352, 641, 122, 95], 'representative': 762, 'size': 2}
  • id: 107520050
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 637, 'group_counter': 15, 'group_order': 4200, 'label': '140C37', 'order': 140, 'powers': [352, 632, 121, 94], 'representative': 822, 'size': 2}
  • id: 107520051
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 638, 'group_counter': 15, 'group_order': 4200, 'label': '140C-37', 'order': 140, 'powers': [351, 631, 122, 93], 'representative': 3498, 'size': 2}
  • id: 107520052
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 639, 'group_counter': 15, 'group_order': 4200, 'label': '140C39', 'order': 140, 'powers': [350, 628, 126, 92], 'representative': 1554, 'size': 2}
  • id: 107520054
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 640, 'group_counter': 15, 'group_order': 4200, 'label': '140C-39', 'order': 140, 'powers': [349, 627, 125, 91], 'representative': 2766, 'size': 2}
  • id: 107520055
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 641, 'group_counter': 15, 'group_order': 4200, 'label': '140C41', 'order': 140, 'powers': [348, 624, 124, 91], 'representative': 2166, 'size': 2}
  • id: 107520056
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 642, 'group_counter': 15, 'group_order': 4200, 'label': '140C-41', 'order': 140, 'powers': [347, 623, 123, 92], 'representative': 2154, 'size': 2}
  • id: 107520057
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 643, 'group_counter': 15, 'group_order': 4200, 'label': '140C43', 'order': 140, 'powers': [346, 620, 123, 93], 'representative': 2898, 'size': 2}
  • id: 107520058
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 644, 'group_counter': 15, 'group_order': 4200, 'label': '140C-43', 'order': 140, 'powers': [345, 619, 124, 94], 'representative': 1422, 'size': 2}
  • id: 107520059
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 645, 'group_counter': 15, 'group_order': 4200, 'label': '140C47', 'order': 140, 'powers': [344, 613, 122, 95], 'representative': 162, 'size': 2}
  • id: 107520060
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 646, 'group_counter': 15, 'group_order': 4200, 'label': '140C-47', 'order': 140, 'powers': [343, 614, 121, 96], 'representative': 4158, 'size': 2}
  • id: 107520061
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 647, 'group_counter': 15, 'group_order': 4200, 'label': '140C51', 'order': 140, 'powers': [342, 621, 122, 98], 'representative': 1626, 'size': 2}
  • id: 107520062
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 648, 'group_counter': 15, 'group_order': 4200, 'label': '140C-51', 'order': 140, 'powers': [341, 622, 121, 97], 'representative': 2694, 'size': 2}
  • id: 107520063
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 649, 'group_counter': 15, 'group_order': 4200, 'label': '140C53', 'order': 140, 'powers': [340, 625, 125, 96], 'representative': 2358, 'size': 2}
  • id: 107520065
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 650, 'group_counter': 15, 'group_order': 4200, 'label': '140C-53', 'order': 140, 'powers': [339, 626, 126, 95], 'representative': 1962, 'size': 2}
  • id: 107520066
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 651, 'group_counter': 15, 'group_order': 4200, 'label': '140C57', 'order': 140, 'powers': [338, 633, 124, 94], 'representative': 3822, 'size': 2}
  • id: 107520067
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 652, 'group_counter': 15, 'group_order': 4200, 'label': '140C-57', 'order': 140, 'powers': [337, 634, 123, 93], 'representative': 498, 'size': 2}
  • id: 107520068
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 653, 'group_counter': 15, 'group_order': 4200, 'label': '140C59', 'order': 140, 'powers': [336, 637, 126, 92], 'representative': 354, 'size': 2}
  • id: 107520069
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 654, 'group_counter': 15, 'group_order': 4200, 'label': '140C-59', 'order': 140, 'powers': [335, 638, 125, 91], 'representative': 3966, 'size': 2}
  • id: 107520070
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 655, 'group_counter': 15, 'group_order': 4200, 'label': '140C61', 'order': 140, 'powers': [334, 643, 121, 91], 'representative': 966, 'size': 2}
  • id: 107520071
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 656, 'group_counter': 15, 'group_order': 4200, 'label': '140C-61', 'order': 140, 'powers': [333, 644, 122, 92], 'representative': 3354, 'size': 2}
  • id: 107520072
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 657, 'group_counter': 15, 'group_order': 4200, 'label': '140C67', 'order': 140, 'powers': [332, 655, 126, 95], 'representative': 3162, 'size': 2}
  • id: 107520073
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 658, 'group_counter': 15, 'group_order': 4200, 'label': '140C-67', 'order': 140, 'powers': [331, 656, 125, 96], 'representative': 1158, 'size': 2}
  • id: 107520074
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 659, 'group_counter': 15, 'group_order': 4200, 'label': '140C69', 'order': 140, 'powers': [330, 657, 124, 97], 'representative': 3894, 'size': 2}
  • id: 107520076
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 660, 'group_counter': 15, 'group_order': 4200, 'label': '140C-69', 'order': 140, 'powers': [329, 658, 123, 98], 'representative': 426, 'size': 2}
  • id: 107520077
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 661, 'group_counter': 15, 'group_order': 4200, 'label': '140D1', 'order': 140, 'powers': [353, 663, 121, 99], 'representative': 726, 'size': 2}
  • id: 107520078
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 662, 'group_counter': 15, 'group_order': 4200, 'label': '140D-1', 'order': 140, 'powers': [354, 664, 122, 100], 'representative': 3594, 'size': 2}
  • id: 107520079
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 663, 'group_counter': 15, 'group_order': 4200, 'label': '140D3', 'order': 140, 'powers': [355, 665, 123, 101], 'representative': 2178, 'size': 2}
  • id: 107520080
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 664, 'group_counter': 15, 'group_order': 4200, 'label': '140D-3', 'order': 140, 'powers': [356, 666, 124, 102], 'representative': 2142, 'size': 2}
  • id: 107520081
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 665, 'group_counter': 15, 'group_order': 4200, 'label': '140D9', 'order': 140, 'powers': [357, 677, 125, 105], 'representative': 2334, 'size': 2}
  • id: 107520082
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 666, 'group_counter': 15, 'group_order': 4200, 'label': '140D-9', 'order': 140, 'powers': [358, 678, 126, 106], 'representative': 1986, 'size': 2}
  • id: 107520083
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 667, 'group_counter': 15, 'group_order': 4200, 'label': '140D11', 'order': 140, 'powers': [359, 683, 123, 106], 'representative': 3786, 'size': 2}
  • id: 107520084
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 668, 'group_counter': 15, 'group_order': 4200, 'label': '140D-11', 'order': 140, 'powers': [360, 684, 124, 105], 'representative': 534, 'size': 2}
  • id: 107520085
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 669, 'group_counter': 15, 'group_order': 4200, 'label': '140D13', 'order': 140, 'powers': [361, 687, 121, 104], 'representative': 1038, 'size': 2}
  • id: 107520087
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 670, 'group_counter': 15, 'group_order': 4200, 'label': '140D-13', 'order': 140, 'powers': [362, 688, 122, 103], 'representative': 3282, 'size': 2}
  • id: 107520088
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 671, 'group_counter': 15, 'group_order': 4200, 'label': '140D17', 'order': 140, 'powers': [363, 695, 124, 102], 'representative': 3942, 'size': 2}
  • id: 107520089
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 672, 'group_counter': 15, 'group_order': 4200, 'label': '140D-17', 'order': 140, 'powers': [364, 696, 123, 101], 'representative': 378, 'size': 2}
  • id: 107520090
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 673, 'group_counter': 15, 'group_order': 4200, 'label': '140D19', 'order': 140, 'powers': [365, 699, 126, 100], 'representative': 1194, 'size': 2}
  • id: 107520091
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 674, 'group_counter': 15, 'group_order': 4200, 'label': '140D-19', 'order': 140, 'powers': [366, 700, 125, 99], 'representative': 3126, 'size': 2}
  • id: 107520092
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 675, 'group_counter': 15, 'group_order': 4200, 'label': '140D23', 'order': 140, 'powers': [367, 707, 126, 101], 'representative': 3978, 'size': 2}
  • id: 107520093
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 676, 'group_counter': 15, 'group_order': 4200, 'label': '140D-23', 'order': 140, 'powers': [368, 708, 125, 102], 'representative': 342, 'size': 2}
  • id: 107520094
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 677, 'group_counter': 15, 'group_order': 4200, 'label': '140D27', 'order': 140, 'powers': [369, 702, 122, 103], 'representative': 2682, 'size': 2}
  • id: 107520095
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 678, 'group_counter': 15, 'group_order': 4200, 'label': '140D-27', 'order': 140, 'powers': [370, 701, 121, 104], 'representative': 1638, 'size': 2}
  • id: 107520096
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 679, 'group_counter': 15, 'group_order': 4200, 'label': '140D29', 'order': 140, 'powers': [371, 698, 121, 105], 'representative': 4134, 'size': 2}
  • id: 107520098
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 680, 'group_counter': 15, 'group_order': 4200, 'label': '140D-29', 'order': 140, 'powers': [372, 697, 122, 106], 'representative': 186, 'size': 2}
  • id: 107520099
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 681, 'group_counter': 15, 'group_order': 4200, 'label': '140D31', 'order': 140, 'powers': [373, 694, 123, 106], 'representative': 1386, 'size': 2}
  • id: 107520100
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 682, 'group_counter': 15, 'group_order': 4200, 'label': '140D-31', 'order': 140, 'powers': [374, 693, 124, 105], 'representative': 2934, 'size': 2}
  • id: 107520101
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 683, 'group_counter': 15, 'group_order': 4200, 'label': '140D33', 'order': 140, 'powers': [375, 690, 125, 104], 'representative': 2838, 'size': 2}
  • id: 107520102
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 684, 'group_counter': 15, 'group_order': 4200, 'label': '140D-33', 'order': 140, 'powers': [376, 689, 126, 103], 'representative': 1482, 'size': 2}
  • id: 107520103
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 685, 'group_counter': 15, 'group_order': 4200, 'label': '140D37', 'order': 140, 'powers': [376, 680, 125, 102], 'representative': 1542, 'size': 2}
  • id: 107520104
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 686, 'group_counter': 15, 'group_order': 4200, 'label': '140D-37', 'order': 140, 'powers': [375, 679, 126, 101], 'representative': 2778, 'size': 2}
  • id: 107520105
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 687, 'group_counter': 15, 'group_order': 4200, 'label': '140D39', 'order': 140, 'powers': [374, 676, 123, 100], 'representative': 2994, 'size': 2}
  • id: 107520106
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 688, 'group_counter': 15, 'group_order': 4200, 'label': '140D-39', 'order': 140, 'powers': [373, 675, 124, 99], 'representative': 1326, 'size': 2}
  • id: 107520107
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 689, 'group_counter': 15, 'group_order': 4200, 'label': '140D41', 'order': 140, 'powers': [372, 672, 121, 99], 'representative': 126, 'size': 2}
  • id: 107520109
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 690, 'group_counter': 15, 'group_order': 4200, 'label': '140D-41', 'order': 140, 'powers': [371, 671, 122, 100], 'representative': 4194, 'size': 2}
  • id: 107520110
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 691, 'group_counter': 15, 'group_order': 4200, 'label': '140D43', 'order': 140, 'powers': [370, 668, 122, 101], 'representative': 1578, 'size': 2}
  • id: 107520111
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 692, 'group_counter': 15, 'group_order': 4200, 'label': '140D-43', 'order': 140, 'powers': [369, 667, 121, 102], 'representative': 2742, 'size': 2}
  • id: 107520112
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 693, 'group_counter': 15, 'group_order': 4200, 'label': '140D47', 'order': 140, 'powers': [368, 661, 126, 103], 'representative': 282, 'size': 2}
  • id: 107520113
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 694, 'group_counter': 15, 'group_order': 4200, 'label': '140D-47', 'order': 140, 'powers': [367, 662, 125, 104], 'representative': 4038, 'size': 2}
  • id: 107520114
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 695, 'group_counter': 15, 'group_order': 4200, 'label': '140D51', 'order': 140, 'powers': [366, 669, 126, 106], 'representative': 3186, 'size': 2}
  • id: 107520115
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 696, 'group_counter': 15, 'group_order': 4200, 'label': '140D-51', 'order': 140, 'powers': [365, 670, 125, 105], 'representative': 1134, 'size': 2}
  • id: 107520116
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 697, 'group_counter': 15, 'group_order': 4200, 'label': '140D53', 'order': 140, 'powers': [364, 673, 124, 104], 'representative': 438, 'size': 2}
  • id: 107520117
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 698, 'group_counter': 15, 'group_order': 4200, 'label': '140D-53', 'order': 140, 'powers': [363, 674, 123, 103], 'representative': 3882, 'size': 2}
  • id: 107520118
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 699, 'group_counter': 15, 'group_order': 4200, 'label': '140D57', 'order': 140, 'powers': [362, 681, 121, 102], 'representative': 3342, 'size': 2}
  • id: 107520121
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 700, 'group_counter': 15, 'group_order': 4200, 'label': '140D-57', 'order': 140, 'powers': [361, 682, 122, 101], 'representative': 978, 'size': 2}
  • id: 107520122
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 701, 'group_counter': 15, 'group_order': 4200, 'label': '140D59', 'order': 140, 'powers': [360, 685, 123, 100], 'representative': 594, 'size': 2}
  • id: 107520123
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 702, 'group_counter': 15, 'group_order': 4200, 'label': '140D-59', 'order': 140, 'powers': [359, 686, 124, 99], 'representative': 3726, 'size': 2}
  • id: 107520124
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 703, 'group_counter': 15, 'group_order': 4200, 'label': '140D61', 'order': 140, 'powers': [358, 691, 125, 99], 'representative': 1926, 'size': 2}
  • id: 107520125
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 704, 'group_counter': 15, 'group_order': 4200, 'label': '140D-61', 'order': 140, 'powers': [357, 692, 126, 100], 'representative': 2394, 'size': 2}
  • id: 107520126
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 705, 'group_counter': 15, 'group_order': 4200, 'label': '140D67', 'order': 140, 'powers': [356, 703, 123, 103], 'representative': 2082, 'size': 2}
  • id: 107520127
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 706, 'group_counter': 15, 'group_order': 4200, 'label': '140D-67', 'order': 140, 'powers': [355, 704, 124, 104], 'representative': 2238, 'size': 2}
  • id: 107520128
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 707, 'group_counter': 15, 'group_order': 4200, 'label': '140D69', 'order': 140, 'powers': [354, 705, 121, 105], 'representative': 3534, 'size': 2}
  • id: 107520129
    {'aut_label': '140C1', 'centralizer': '2.a1.a1', 'counter': 708, 'group_counter': 15, 'group_order': 4200, 'label': '140D-69', 'order': 140, 'powers': [353, 706, 122, 106], 'representative': 786, 'size': 2}
  • id: 107520130
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 709, 'group_counter': 15, 'group_order': 4200, 'label': '210A1', 'order': 210, 'powers': [389, 305, 243, 129], 'representative': 1204, 'size': 2}
  • id: 107520132
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 710, 'group_counter': 15, 'group_order': 4200, 'label': '210A-1', 'order': 210, 'powers': [390, 306, 244, 130], 'representative': 3116, 'size': 2}
  • id: 107520133
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 711, 'group_counter': 15, 'group_order': 4200, 'label': '210A11', 'order': 210, 'powers': [394, 311, 247, 134], 'representative': 644, 'size': 2}
  • id: 107520134
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 712, 'group_counter': 15, 'group_order': 4200, 'label': '210A-11', 'order': 210, 'powers': [393, 312, 248, 133], 'representative': 3676, 'size': 2}
  • id: 107520135
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 713, 'group_counter': 15, 'group_order': 4200, 'label': '210A13', 'order': 210, 'powers': [397, 313, 243, 127], 'representative': 3052, 'size': 2}
  • id: 107520136
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 714, 'group_counter': 15, 'group_order': 4200, 'label': '210A-13', 'order': 210, 'powers': [398, 314, 244, 128], 'representative': 1268, 'size': 2}
  • id: 107520137
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 715, 'group_counter': 15, 'group_order': 4200, 'label': '210A17', 'order': 210, 'powers': [401, 308, 247, 128], 'representative': 3668, 'size': 2}
  • id: 107520138
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 716, 'group_counter': 15, 'group_order': 4200, 'label': '210A-17', 'order': 210, 'powers': [402, 307, 248, 127], 'representative': 652, 'size': 2}
  • id: 107520139
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 717, 'group_counter': 15, 'group_order': 4200, 'label': '210A19', 'order': 210, 'powers': [403, 309, 246, 133], 'representative': 1876, 'size': 2}
  • id: 107520140
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 718, 'group_counter': 15, 'group_order': 4200, 'label': '210A-19', 'order': 210, 'powers': [404, 310, 245, 134], 'representative': 2444, 'size': 2}
  • id: 107520141
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 719, 'group_counter': 15, 'group_order': 4200, 'label': '210A23', 'order': 210, 'powers': [405, 315, 245, 131], 'representative': 2492, 'size': 2}
  • id: 107520143
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 720, 'group_counter': 15, 'group_order': 4200, 'label': '210A-23', 'order': 210, 'powers': [406, 316, 246, 132], 'representative': 1828, 'size': 2}
  • id: 107520144
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 721, 'group_counter': 15, 'group_order': 4200, 'label': '210A31', 'order': 210, 'powers': [407, 311, 248, 129], 'representative': 3604, 'size': 2}
  • id: 107520145
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 722, 'group_counter': 15, 'group_order': 4200, 'label': '210A-31', 'order': 210, 'powers': [408, 312, 247, 130], 'representative': 716, 'size': 2}
  • id: 107520146
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 723, 'group_counter': 15, 'group_order': 4200, 'label': '210A41', 'order': 210, 'powers': [410, 305, 244, 134], 'representative': 3044, 'size': 2}
  • id: 107520147
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 724, 'group_counter': 15, 'group_order': 4200, 'label': '210A-41', 'order': 210, 'powers': [409, 306, 243, 133], 'representative': 1276, 'size': 2}
  • id: 107520148
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 725, 'group_counter': 15, 'group_order': 4200, 'label': '210A47', 'order': 210, 'powers': [391, 316, 245, 128], 'representative': 1868, 'size': 2}
  • id: 107520149
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 726, 'group_counter': 15, 'group_order': 4200, 'label': '210A-47', 'order': 210, 'powers': [392, 315, 246, 127], 'representative': 2452, 'size': 2}
  • id: 107520150
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 727, 'group_counter': 15, 'group_order': 4200, 'label': '210A53', 'order': 210, 'powers': [411, 307, 247, 131], 'representative': 692, 'size': 2}
  • id: 107520151
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 728, 'group_counter': 15, 'group_order': 4200, 'label': '210A-53', 'order': 210, 'powers': [412, 308, 248, 132], 'representative': 3628, 'size': 2}
  • id: 107520152
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 729, 'group_counter': 15, 'group_order': 4200, 'label': '210A61', 'order': 210, 'powers': [399, 310, 246, 129], 'representative': 1804, 'size': 2}
  • id: 107520154
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 730, 'group_counter': 15, 'group_order': 4200, 'label': '210A-61', 'order': 210, 'powers': [400, 309, 245, 130], 'representative': 2516, 'size': 2}
  • id: 107520155
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 731, 'group_counter': 15, 'group_order': 4200, 'label': '210A83', 'order': 210, 'powers': [395, 313, 244, 131], 'representative': 3092, 'size': 2}
  • id: 107520156
    {'aut_label': '210A1', 'centralizer': '2.a1.a1', 'counter': 732, 'group_counter': 15, 'group_order': 4200, 'label': '210A-83', 'order': 210, 'powers': [396, 314, 243, 132], 'representative': 1228, 'size': 2}
  • id: 107520157
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 733, 'group_counter': 15, 'group_order': 4200, 'label': '210B1', 'order': 210, 'powers': [413, 317, 247, 135], 'representative': 260, 'size': 2}
  • id: 107520158
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 734, 'group_counter': 15, 'group_order': 4200, 'label': '210B-1', 'order': 210, 'powers': [414, 317, 248, 136], 'representative': 4060, 'size': 2}
  • id: 107520159
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 735, 'group_counter': 15, 'group_order': 4200, 'label': '210B11', 'order': 210, 'powers': [421, 320, 246, 136], 'representative': 2740, 'size': 2}
  • id: 107520160
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 736, 'group_counter': 15, 'group_order': 4200, 'label': '210B-11', 'order': 210, 'powers': [422, 320, 245, 135], 'representative': 1580, 'size': 2}
  • id: 107520161
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 737, 'group_counter': 15, 'group_order': 4200, 'label': '210B13', 'order': 210, 'powers': [423, 321, 247, 137], 'representative': 3140, 'size': 2}
  • id: 107520162
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 738, 'group_counter': 15, 'group_order': 4200, 'label': '210B-13', 'order': 210, 'powers': [424, 321, 248, 138], 'representative': 1180, 'size': 2}
  • id: 107520163
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 739, 'group_counter': 15, 'group_order': 4200, 'label': '210B17', 'order': 210, 'powers': [427, 322, 246, 138], 'representative': 4180, 'size': 2}
  • id: 107520165
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 740, 'group_counter': 15, 'group_order': 4200, 'label': '210B-17', 'order': 210, 'powers': [428, 322, 245, 137], 'representative': 140, 'size': 2}
  • id: 107520166
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 741, 'group_counter': 15, 'group_order': 4200, 'label': '210B19', 'order': 210, 'powers': [425, 323, 244, 135], 'representative': 380, 'size': 2}
  • id: 107520167
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 742, 'group_counter': 15, 'group_order': 4200, 'label': '210B-19', 'order': 210, 'powers': [426, 323, 243, 136], 'representative': 3940, 'size': 2}
  • id: 107520168
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 743, 'group_counter': 15, 'group_order': 4200, 'label': '210B23', 'order': 210, 'powers': [429, 324, 243, 138], 'representative': 1420, 'size': 2}
  • id: 107520169
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 744, 'group_counter': 15, 'group_order': 4200, 'label': '210B-23', 'order': 210, 'powers': [430, 324, 244, 137], 'representative': 2900, 'size': 2}
  • id: 107520170
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 745, 'group_counter': 15, 'group_order': 4200, 'label': '210B29', 'order': 210, 'powers': [433, 326, 248, 136], 'representative': 2860, 'size': 2}
  • id: 107520171
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 746, 'group_counter': 15, 'group_order': 4200, 'label': '210B-29', 'order': 210, 'powers': [434, 326, 247, 135], 'representative': 1460, 'size': 2}
  • id: 107520172
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 747, 'group_counter': 15, 'group_order': 4200, 'label': '210B31', 'order': 210, 'powers': [417, 327, 245, 135], 'representative': 3260, 'size': 2}
  • id: 107520173
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 748, 'group_counter': 15, 'group_order': 4200, 'label': '210B-31', 'order': 210, 'powers': [418, 327, 246, 136], 'representative': 1060, 'size': 2}
  • id: 107520174
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 749, 'group_counter': 15, 'group_order': 4200, 'label': '210B37', 'order': 210, 'powers': [416, 328, 244, 137], 'representative': 500, 'size': 2}
  • id: 107520176
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 750, 'group_counter': 15, 'group_order': 4200, 'label': '210B-37', 'order': 210, 'powers': [415, 328, 243, 138], 'representative': 3820, 'size': 2}
  • id: 107520177
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 751, 'group_counter': 15, 'group_order': 4200, 'label': '210B43', 'order': 210, 'powers': [420, 325, 247, 137], 'representative': 1940, 'size': 2}
  • id: 107520178
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 752, 'group_counter': 15, 'group_order': 4200, 'label': '210B-43', 'order': 210, 'powers': [419, 325, 248, 138], 'representative': 2380, 'size': 2}
  • id: 107520179
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 753, 'group_counter': 15, 'group_order': 4200, 'label': '210B61', 'order': 210, 'powers': [432, 319, 244, 135], 'representative': 2060, 'size': 2}
  • id: 107520180
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 754, 'group_counter': 15, 'group_order': 4200, 'label': '210B-61', 'order': 210, 'powers': [431, 319, 243, 136], 'representative': 2260, 'size': 2}
  • id: 107520181
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 755, 'group_counter': 15, 'group_order': 4200, 'label': '210B67', 'order': 210, 'powers': [436, 318, 245, 137], 'representative': 3500, 'size': 2}
  • id: 107520182
    {'aut_label': '210B1', 'centralizer': '2.a1.a1', 'counter': 756, 'group_counter': 15, 'group_order': 4200, 'label': '210B-67', 'order': 210, 'powers': [435, 318, 246, 138], 'representative': 820, 'size': 2}
  • id: 107520183
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 757, 'group_counter': 15, 'group_order': 4200, 'label': '210C1', 'order': 210, 'powers': [437, 329, 248, 139], 'representative': 244, 'size': 2}
  • id: 107520184
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 758, 'group_counter': 15, 'group_order': 4200, 'label': '210C-1', 'order': 210, 'powers': [438, 330, 247, 140], 'representative': 4076, 'size': 2}
  • id: 107520185
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 759, 'group_counter': 15, 'group_order': 4200, 'label': '210C11', 'order': 210, 'powers': [445, 335, 245, 143], 'representative': 2684, 'size': 2}
  • id: 107520187
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 760, 'group_counter': 15, 'group_order': 4200, 'label': '210C-11', 'order': 210, 'powers': [446, 336, 246, 144], 'representative': 1636, 'size': 2}
  • id: 107520188
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 761, 'group_counter': 15, 'group_order': 4200, 'label': '210C13', 'order': 210, 'powers': [447, 337, 248, 145], 'representative': 3172, 'size': 2}
  • id: 107520189
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 762, 'group_counter': 15, 'group_order': 4200, 'label': '210C-13', 'order': 210, 'powers': [448, 338, 247, 146], 'representative': 1148, 'size': 2}
  • id: 107520190
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 763, 'group_counter': 15, 'group_order': 4200, 'label': '210C17', 'order': 210, 'powers': [451, 339, 245, 146], 'representative': 4148, 'size': 2}
  • id: 107520191
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 764, 'group_counter': 15, 'group_order': 4200, 'label': '210C-17', 'order': 210, 'powers': [452, 340, 246, 145], 'representative': 172, 'size': 2}
  • id: 107520192
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 765, 'group_counter': 15, 'group_order': 4200, 'label': '210C19', 'order': 210, 'powers': [453, 341, 243, 144], 'representative': 436, 'size': 2}
  • id: 107520193
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 766, 'group_counter': 15, 'group_order': 4200, 'label': '210C-19', 'order': 210, 'powers': [454, 342, 244, 143], 'representative': 3884, 'size': 2}
  • id: 107520194
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 767, 'group_counter': 15, 'group_order': 4200, 'label': '210C23', 'order': 210, 'powers': [457, 343, 244, 142], 'representative': 1412, 'size': 2}
  • id: 107520195
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 768, 'group_counter': 15, 'group_order': 4200, 'label': '210C-23', 'order': 210, 'powers': [458, 344, 243, 141], 'representative': 2908, 'size': 2}
  • id: 107520196
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 769, 'group_counter': 15, 'group_order': 4200, 'label': '210C29', 'order': 210, 'powers': [461, 347, 247, 140], 'representative': 2876, 'size': 2}
  • id: 107520198
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 770, 'group_counter': 15, 'group_order': 4200, 'label': '210C-29', 'order': 210, 'powers': [462, 348, 248, 139], 'representative': 1444, 'size': 2}
  • id: 107520199
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 771, 'group_counter': 15, 'group_order': 4200, 'label': '210C31', 'order': 210, 'powers': [463, 349, 246, 139], 'representative': 3244, 'size': 2}
  • id: 107520200
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 772, 'group_counter': 15, 'group_order': 4200, 'label': '210C-31', 'order': 210, 'powers': [464, 350, 245, 140], 'representative': 1076, 'size': 2}
  • id: 107520201
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 773, 'group_counter': 15, 'group_order': 4200, 'label': '210C37', 'order': 210, 'powers': [469, 352, 243, 141], 'representative': 508, 'size': 2}
  • id: 107520202
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 774, 'group_counter': 15, 'group_order': 4200, 'label': '210C-37', 'order': 210, 'powers': [470, 351, 244, 142], 'representative': 3812, 'size': 2}
  • id: 107520203
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 775, 'group_counter': 15, 'group_order': 4200, 'label': '210C41', 'order': 210, 'powers': [473, 348, 247, 143], 'representative': 1484, 'size': 2}
  • id: 107520204
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 776, 'group_counter': 15, 'group_order': 4200, 'label': '210C-41', 'order': 210, 'powers': [474, 347, 248, 144], 'representative': 2836, 'size': 2}
  • id: 107520205
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 777, 'group_counter': 15, 'group_order': 4200, 'label': '210C43', 'order': 210, 'powers': [475, 346, 248, 145], 'representative': 1972, 'size': 2}
  • id: 107520206
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 778, 'group_counter': 15, 'group_order': 4200, 'label': '210C-43', 'order': 210, 'powers': [476, 345, 247, 146], 'representative': 2348, 'size': 2}
  • id: 107520207
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 779, 'group_counter': 15, 'group_order': 4200, 'label': '210C47', 'order': 210, 'powers': [481, 344, 244, 146], 'representative': 2948, 'size': 2}
  • id: 107520209
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 780, 'group_counter': 15, 'group_order': 4200, 'label': '210C-47', 'order': 210, 'powers': [482, 343, 243, 145], 'representative': 1372, 'size': 2}
  • id: 107520210
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 781, 'group_counter': 15, 'group_order': 4200, 'label': '210C53', 'order': 210, 'powers': [484, 340, 245, 142], 'representative': 212, 'size': 2}
  • id: 107520211
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 782, 'group_counter': 15, 'group_order': 4200, 'label': '210C-53', 'order': 210, 'powers': [483, 339, 246, 141], 'representative': 4108, 'size': 2}
  • id: 107520212
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 783, 'group_counter': 15, 'group_order': 4200, 'label': '210C59', 'order': 210, 'powers': [480, 336, 245, 140], 'representative': 1676, 'size': 2}
  • id: 107520213
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 784, 'group_counter': 15, 'group_order': 4200, 'label': '210C-59', 'order': 210, 'powers': [479, 335, 246, 139], 'representative': 2644, 'size': 2}
  • id: 107520214
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 785, 'group_counter': 15, 'group_order': 4200, 'label': '210C61', 'order': 210, 'powers': [478, 334, 243, 139], 'representative': 2044, 'size': 2}
  • id: 107520215
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 786, 'group_counter': 15, 'group_order': 4200, 'label': '210C-61', 'order': 210, 'powers': [477, 333, 244, 140], 'representative': 2276, 'size': 2}
  • id: 107520216
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 787, 'group_counter': 15, 'group_order': 4200, 'label': '210C67', 'order': 210, 'powers': [472, 332, 246, 141], 'representative': 3508, 'size': 2}
  • id: 107520217
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 788, 'group_counter': 15, 'group_order': 4200, 'label': '210C-67', 'order': 210, 'powers': [471, 331, 245, 142], 'representative': 812, 'size': 2}
  • id: 107520218
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 789, 'group_counter': 15, 'group_order': 4200, 'label': '210C71', 'order': 210, 'powers': [468, 329, 247, 143], 'representative': 284, 'size': 2}
  • id: 107520220
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 790, 'group_counter': 15, 'group_order': 4200, 'label': '210C-71', 'order': 210, 'powers': [467, 330, 248, 144], 'representative': 4036, 'size': 2}
  • id: 107520221
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 791, 'group_counter': 15, 'group_order': 4200, 'label': '210C73', 'order': 210, 'powers': [466, 331, 246, 145], 'representative': 772, 'size': 2}
  • id: 107520222
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 792, 'group_counter': 15, 'group_order': 4200, 'label': '210C-73', 'order': 210, 'powers': [465, 332, 245, 146], 'representative': 3548, 'size': 2}
  • id: 107520223
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 793, 'group_counter': 15, 'group_order': 4200, 'label': '210C79', 'order': 210, 'powers': [460, 333, 243, 144], 'representative': 2236, 'size': 2}
  • id: 107520224
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 794, 'group_counter': 15, 'group_order': 4200, 'label': '210C-79', 'order': 210, 'powers': [459, 334, 244, 143], 'representative': 2084, 'size': 2}
  • id: 107520225
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 795, 'group_counter': 15, 'group_order': 4200, 'label': '210C83', 'order': 210, 'powers': [456, 337, 247, 142], 'representative': 3212, 'size': 2}
  • id: 107520226
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 796, 'group_counter': 15, 'group_order': 4200, 'label': '210C-83', 'order': 210, 'powers': [455, 338, 248, 141], 'representative': 1108, 'size': 2}
  • id: 107520227
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 797, 'group_counter': 15, 'group_order': 4200, 'label': '210C89', 'order': 210, 'powers': [450, 341, 244, 140], 'representative': 476, 'size': 2}
  • id: 107520228
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 798, 'group_counter': 15, 'group_order': 4200, 'label': '210C-89', 'order': 210, 'powers': [449, 342, 243, 139], 'representative': 3844, 'size': 2}
  • id: 107520229
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 799, 'group_counter': 15, 'group_order': 4200, 'label': '210C97', 'order': 210, 'powers': [444, 345, 248, 141], 'representative': 2308, 'size': 2}
  • id: 107520232
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 800, 'group_counter': 15, 'group_order': 4200, 'label': '210C-97', 'order': 210, 'powers': [443, 346, 247, 142], 'representative': 2012, 'size': 2}
  • id: 107520233
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 801, 'group_counter': 15, 'group_order': 4200, 'label': '210C101', 'order': 210, 'powers': [442, 349, 245, 143], 'representative': 3284, 'size': 2}
  • id: 107520234
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 802, 'group_counter': 15, 'group_order': 4200, 'label': '210C-101', 'order': 210, 'powers': [441, 350, 246, 144], 'representative': 1036, 'size': 2}
  • id: 107520235
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 803, 'group_counter': 15, 'group_order': 4200, 'label': '210C103', 'order': 210, 'powers': [440, 351, 243, 145], 'representative': 3772, 'size': 2}
  • id: 107520236
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 804, 'group_counter': 15, 'group_order': 4200, 'label': '210C-103', 'order': 210, 'powers': [439, 352, 244, 146], 'representative': 548, 'size': 2}
  • id: 107520237
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 805, 'group_counter': 15, 'group_order': 4200, 'label': '210D1', 'order': 210, 'powers': [485, 353, 243, 147], 'representative': 484, 'size': 2}
  • id: 107520238
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 806, 'group_counter': 15, 'group_order': 4200, 'label': '210D-1', 'order': 210, 'powers': [486, 354, 244, 148], 'representative': 3836, 'size': 2}
  • id: 107520239
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 807, 'group_counter': 15, 'group_order': 4200, 'label': '210D11', 'order': 210, 'powers': [493, 359, 247, 151], 'representative': 1124, 'size': 2}
  • id: 107520240
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 808, 'group_counter': 15, 'group_order': 4200, 'label': '210D-11', 'order': 210, 'powers': [494, 360, 248, 152], 'representative': 3196, 'size': 2}
  • id: 107520241
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 809, 'group_counter': 15, 'group_order': 4200, 'label': '210D13', 'order': 210, 'powers': [495, 361, 243, 153], 'representative': 2092, 'size': 2}
  • id: 107520243
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 810, 'group_counter': 15, 'group_order': 4200, 'label': '210D-13', 'order': 210, 'powers': [496, 362, 244, 154], 'representative': 2228, 'size': 2}
  • id: 107520244
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 811, 'group_counter': 15, 'group_order': 4200, 'label': '210D17', 'order': 210, 'powers': [499, 363, 247, 154], 'representative': 4028, 'size': 2}
  • id: 107520245
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 812, 'group_counter': 15, 'group_order': 4200, 'label': '210D-17', 'order': 210, 'powers': [500, 364, 248, 153], 'representative': 292, 'size': 2}
  • id: 107520246
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 813, 'group_counter': 15, 'group_order': 4200, 'label': '210D19', 'order': 210, 'powers': [501, 365, 246, 152], 'representative': 796, 'size': 2}
  • id: 107520247
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 814, 'group_counter': 15, 'group_order': 4200, 'label': '210D-19', 'order': 210, 'powers': [502, 366, 245, 151], 'representative': 3524, 'size': 2}
  • id: 107520248
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 815, 'group_counter': 15, 'group_order': 4200, 'label': '210D23', 'order': 210, 'powers': [505, 367, 245, 150], 'representative': 2732, 'size': 2}
  • id: 107520249
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 816, 'group_counter': 15, 'group_order': 4200, 'label': '210D-23', 'order': 210, 'powers': [506, 368, 246, 149], 'representative': 1588, 'size': 2}
  • id: 107520250
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 817, 'group_counter': 15, 'group_order': 4200, 'label': '210D29', 'order': 210, 'powers': [509, 371, 244, 148], 'representative': 1436, 'size': 2}
  • id: 107520251
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 818, 'group_counter': 15, 'group_order': 4200, 'label': '210D-29', 'order': 210, 'powers': [510, 372, 243, 147], 'representative': 2884, 'size': 2}
  • id: 107520252
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 819, 'group_counter': 15, 'group_order': 4200, 'label': '210D31', 'order': 210, 'powers': [511, 373, 248, 147], 'representative': 2284, 'size': 2}
  • id: 107520254
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 820, 'group_counter': 15, 'group_order': 4200, 'label': '210D-31', 'order': 210, 'powers': [512, 374, 247, 148], 'representative': 2036, 'size': 2}
  • id: 107520255
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 821, 'group_counter': 15, 'group_order': 4200, 'label': '210D37', 'order': 210, 'powers': [517, 376, 246, 149], 'representative': 988, 'size': 2}
  • id: 107520256
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 822, 'group_counter': 15, 'group_order': 4200, 'label': '210D-37', 'order': 210, 'powers': [518, 375, 245, 150], 'representative': 3332, 'size': 2}
  • id: 107520257
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 823, 'group_counter': 15, 'group_order': 4200, 'label': '210D41', 'order': 210, 'powers': [521, 372, 244, 151], 'representative': 2924, 'size': 2}
  • id: 107520258
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 824, 'group_counter': 15, 'group_order': 4200, 'label': '210D-41', 'order': 210, 'powers': [522, 371, 243, 152], 'representative': 1396, 'size': 2}
  • id: 107520259
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 825, 'group_counter': 15, 'group_order': 4200, 'label': '210D43', 'order': 210, 'powers': [523, 370, 243, 153], 'representative': 3892, 'size': 2}
  • id: 107520260
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 826, 'group_counter': 15, 'group_order': 4200, 'label': '210D-43', 'order': 210, 'powers': [524, 369, 244, 154], 'representative': 428, 'size': 2}
  • id: 107520261
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 827, 'group_counter': 15, 'group_order': 4200, 'label': '210D47', 'order': 210, 'powers': [529, 368, 245, 154], 'representative': 1628, 'size': 2}
  • id: 107520262
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 828, 'group_counter': 15, 'group_order': 4200, 'label': '210D-47', 'order': 210, 'powers': [530, 367, 246, 153], 'representative': 2692, 'size': 2}
  • id: 107520263
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 829, 'group_counter': 15, 'group_order': 4200, 'label': '210D53', 'order': 210, 'powers': [532, 364, 247, 150], 'representative': 332, 'size': 2}
  • id: 107520265
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 830, 'group_counter': 15, 'group_order': 4200, 'label': '210D-53', 'order': 210, 'powers': [531, 363, 248, 149], 'representative': 3988, 'size': 2}
  • id: 107520266
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 831, 'group_counter': 15, 'group_order': 4200, 'label': '210D59', 'order': 210, 'powers': [528, 360, 247, 148], 'representative': 3236, 'size': 2}
  • id: 107520267
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 832, 'group_counter': 15, 'group_order': 4200, 'label': '210D-59', 'order': 210, 'powers': [527, 359, 248, 147], 'representative': 1084, 'size': 2}
  • id: 107520268
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 833, 'group_counter': 15, 'group_order': 4200, 'label': '210D61', 'order': 210, 'powers': [526, 358, 246, 147], 'representative': 4084, 'size': 2}
  • id: 107520269
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 834, 'group_counter': 15, 'group_order': 4200, 'label': '210D-61', 'order': 210, 'powers': [525, 357, 245, 148], 'representative': 236, 'size': 2}
  • id: 107520270
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 835, 'group_counter': 15, 'group_order': 4200, 'label': '210D67', 'order': 210, 'powers': [520, 356, 248, 149], 'representative': 2788, 'size': 2}
  • id: 107520271
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 836, 'group_counter': 15, 'group_order': 4200, 'label': '210D-67', 'order': 210, 'powers': [519, 355, 247, 150], 'representative': 1532, 'size': 2}
  • id: 107520272
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 837, 'group_counter': 15, 'group_order': 4200, 'label': '210D71', 'order': 210, 'powers': [516, 353, 244, 151], 'representative': 524, 'size': 2}
  • id: 107520273
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 838, 'group_counter': 15, 'group_order': 4200, 'label': '210D-71', 'order': 210, 'powers': [515, 354, 243, 152], 'representative': 3796, 'size': 2}
  • id: 107520274
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 839, 'group_counter': 15, 'group_order': 4200, 'label': '210D73', 'order': 210, 'powers': [514, 355, 248, 153], 'representative': 1492, 'size': 2}
  • id: 107520276
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 840, 'group_counter': 15, 'group_order': 4200, 'label': '210D-73', 'order': 210, 'powers': [513, 356, 247, 154], 'representative': 2828, 'size': 2}
  • id: 107520277
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 841, 'group_counter': 15, 'group_order': 4200, 'label': '210D79', 'order': 210, 'powers': [508, 357, 246, 152], 'representative': 196, 'size': 2}
  • id: 107520278
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 842, 'group_counter': 15, 'group_order': 4200, 'label': '210D-79', 'order': 210, 'powers': [507, 358, 245, 151], 'representative': 4124, 'size': 2}
  • id: 107520279
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 843, 'group_counter': 15, 'group_order': 4200, 'label': '210D83', 'order': 210, 'powers': [504, 361, 244, 150], 'representative': 2132, 'size': 2}
  • id: 107520280
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 844, 'group_counter': 15, 'group_order': 4200, 'label': '210D-83', 'order': 210, 'powers': [503, 362, 243, 149], 'representative': 2188, 'size': 2}
  • id: 107520281
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 845, 'group_counter': 15, 'group_order': 4200, 'label': '210D89', 'order': 210, 'powers': [498, 365, 245, 148], 'representative': 836, 'size': 2}
  • id: 107520282
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 846, 'group_counter': 15, 'group_order': 4200, 'label': '210D-89', 'order': 210, 'powers': [497, 366, 246, 147], 'representative': 3484, 'size': 2}
  • id: 107520283
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 847, 'group_counter': 15, 'group_order': 4200, 'label': '210D97', 'order': 210, 'powers': [492, 369, 243, 149], 'representative': 388, 'size': 2}
  • id: 107520284
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 848, 'group_counter': 15, 'group_order': 4200, 'label': '210D-97', 'order': 210, 'powers': [491, 370, 244, 150], 'representative': 3932, 'size': 2}
  • id: 107520285
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 849, 'group_counter': 15, 'group_order': 4200, 'label': '210D101', 'order': 210, 'powers': [490, 373, 247, 151], 'representative': 2324, 'size': 2}
  • id: 107520287
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 850, 'group_counter': 15, 'group_order': 4200, 'label': '210D-101', 'order': 210, 'powers': [489, 374, 248, 152], 'representative': 1996, 'size': 2}
  • id: 107520288
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 851, 'group_counter': 15, 'group_order': 4200, 'label': '210D103', 'order': 210, 'powers': [488, 375, 246, 153], 'representative': 3292, 'size': 2}
  • id: 107520289
    {'aut_label': '210C1', 'centralizer': '2.a1.a1', 'counter': 852, 'group_counter': 15, 'group_order': 4200, 'label': '210D-103', 'order': 210, 'powers': [487, 376, 245, 154], 'representative': 1028, 'size': 2}
  • id: 107520290
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 853, 'group_counter': 15, 'group_order': 4200, 'label': '420A1', 'order': 420, 'powers': [709, 565, 377, 251], 'representative': 602, 'size': 2}
  • id: 107520291
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 854, 'group_counter': 15, 'group_order': 4200, 'label': '420A-1', 'order': 420, 'powers': [710, 566, 378, 252], 'representative': 718, 'size': 2}
  • id: 107520292
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 855, 'group_counter': 15, 'group_order': 4200, 'label': '420A11', 'order': 420, 'powers': [711, 571, 381, 257], 'representative': 1822, 'size': 2}
  • id: 107520293
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 856, 'group_counter': 15, 'group_order': 4200, 'label': '420A-11', 'order': 420, 'powers': [712, 572, 382, 258], 'representative': 1898, 'size': 2}
  • id: 107520294
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 857, 'group_counter': 15, 'group_order': 4200, 'label': '420A13', 'order': 420, 'powers': [713, 573, 377, 264], 'representative': 626, 'size': 2}
  • id: 107520295
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 858, 'group_counter': 15, 'group_order': 4200, 'label': '420A-13', 'order': 420, 'powers': [714, 574, 378, 263], 'representative': 694, 'size': 2}
  • id: 107520296
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 859, 'group_counter': 15, 'group_order': 4200, 'label': '420A17', 'order': 420, 'powers': [715, 568, 383, 250], 'representative': 1834, 'size': 2}
  • id: 107520298
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 860, 'group_counter': 15, 'group_order': 4200, 'label': '420A-17', 'order': 420, 'powers': [716, 567, 384, 249], 'representative': 1886, 'size': 2}
  • id: 107520299
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 861, 'group_counter': 15, 'group_order': 4200, 'label': '420A19', 'order': 420, 'powers': [717, 575, 380, 255], 'representative': 1238, 'size': 2}
  • id: 107520300
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 862, 'group_counter': 15, 'group_order': 4200, 'label': '420A-19', 'order': 420, 'powers': [718, 576, 379, 256], 'representative': 1282, 'size': 2}
  • id: 107520301
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 863, 'group_counter': 15, 'group_order': 4200, 'label': '420A23', 'order': 420, 'powers': [719, 577, 385, 260], 'representative': 1246, 'size': 2}
  • id: 107520302
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 864, 'group_counter': 15, 'group_order': 4200, 'label': '420A-23', 'order': 420, 'powers': [720, 578, 386, 259], 'representative': 1274, 'size': 2}
  • id: 107520303
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 865, 'group_counter': 15, 'group_order': 4200, 'label': '420A29', 'order': 420, 'powers': [710, 579, 387, 261], 'representative': 658, 'size': 2}
  • id: 107520304
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 866, 'group_counter': 15, 'group_order': 4200, 'label': '420A-29', 'order': 420, 'powers': [709, 580, 388, 262], 'representative': 662, 'size': 2}
  • id: 107520305
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 867, 'group_counter': 15, 'group_order': 4200, 'label': '420A31', 'order': 420, 'powers': [721, 571, 384, 262], 'representative': 1862, 'size': 2}
  • id: 107520306
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 868, 'group_counter': 15, 'group_order': 4200, 'label': '420A-31', 'order': 420, 'powers': [722, 572, 383, 261], 'representative': 1858, 'size': 2}
  • id: 107520307
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 869, 'group_counter': 15, 'group_order': 4200, 'label': '420A41', 'order': 420, 'powers': [723, 565, 387, 256], 'representative': 682, 'size': 2}
  • id: 107520309
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 870, 'group_counter': 15, 'group_order': 4200, 'label': '420A-41', 'order': 420, 'powers': [724, 566, 388, 255], 'representative': 638, 'size': 2}
  • id: 107520310
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 871, 'group_counter': 15, 'group_order': 4200, 'label': '420A43', 'order': 420, 'powers': [713, 585, 388, 249], 'representative': 686, 'size': 2}
  • id: 107520311
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 872, 'group_counter': 15, 'group_order': 4200, 'label': '420A-43', 'order': 420, 'powers': [714, 586, 387, 250], 'representative': 634, 'size': 2}
  • id: 107520312
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 873, 'group_counter': 15, 'group_order': 4200, 'label': '420A47', 'order': 420, 'powers': [725, 582, 385, 263], 'representative': 1294, 'size': 2}
  • id: 107520313
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 874, 'group_counter': 15, 'group_order': 4200, 'label': '420A-47', 'order': 420, 'powers': [726, 581, 386, 264], 'representative': 1226, 'size': 2}
  • id: 107520314
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 875, 'group_counter': 15, 'group_order': 4200, 'label': '420A53', 'order': 420, 'powers': [727, 587, 383, 253], 'representative': 1906, 'size': 2}
  • id: 107520315
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 876, 'group_counter': 15, 'group_order': 4200, 'label': '420A-53', 'order': 420, 'powers': [728, 588, 384, 254], 'representative': 1814, 'size': 2}
  • id: 107520316
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 877, 'group_counter': 15, 'group_order': 4200, 'label': '420A59', 'order': 420, 'powers': [722, 583, 381, 252], 'representative': 1918, 'size': 2}
  • id: 107520317
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 878, 'group_counter': 15, 'group_order': 4200, 'label': '420A-59', 'order': 420, 'powers': [721, 584, 382, 251], 'representative': 1802, 'size': 2}
  • id: 107520318
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 879, 'group_counter': 15, 'group_order': 4200, 'label': '420A61', 'order': 420, 'powers': [729, 576, 386, 251], 'representative': 1202, 'size': 2}
  • id: 107520320
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 880, 'group_counter': 15, 'group_order': 4200, 'label': '420A-61', 'order': 420, 'powers': [730, 575, 385, 252], 'representative': 1318, 'size': 2}
  • id: 107520321
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 881, 'group_counter': 15, 'group_order': 4200, 'label': '420A71', 'order': 420, 'powers': [723, 580, 378, 257], 'representative': 622, 'size': 2}
  • id: 107520322
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 882, 'group_counter': 15, 'group_order': 4200, 'label': '420A-71', 'order': 420, 'powers': [724, 579, 377, 258], 'representative': 698, 'size': 2}
  • id: 107520323
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 883, 'group_counter': 15, 'group_order': 4200, 'label': '420A73', 'order': 420, 'powers': [716, 587, 382, 264], 'representative': 1826, 'size': 2}
  • id: 107520324
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 884, 'group_counter': 15, 'group_order': 4200, 'label': '420A-73', 'order': 420, 'powers': [715, 588, 381, 263], 'representative': 1894, 'size': 2}
  • id: 107520325
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 885, 'group_counter': 15, 'group_order': 4200, 'label': '420A83', 'order': 420, 'powers': [731, 585, 378, 260], 'representative': 646, 'size': 2}
  • id: 107520326
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 886, 'group_counter': 15, 'group_order': 4200, 'label': '420A-83', 'order': 420, 'powers': [732, 586, 377, 259], 'representative': 674, 'size': 2}
  • id: 107520327
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 887, 'group_counter': 15, 'group_order': 4200, 'label': '420A89', 'order': 420, 'powers': [730, 569, 379, 261], 'representative': 1258, 'size': 2}
  • id: 107520328
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 888, 'group_counter': 15, 'group_order': 4200, 'label': '420A-89', 'order': 420, 'powers': [729, 570, 380, 262], 'representative': 1262, 'size': 2}
  • id: 107520329
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 889, 'group_counter': 15, 'group_order': 4200, 'label': '420A101', 'order': 420, 'powers': [711, 584, 383, 256], 'representative': 1882, 'size': 2}
  • id: 107520331
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 890, 'group_counter': 15, 'group_order': 4200, 'label': '420A-101', 'order': 420, 'powers': [712, 583, 384, 255], 'representative': 1838, 'size': 2}
  • id: 107520332
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 891, 'group_counter': 15, 'group_order': 4200, 'label': '420A103', 'order': 420, 'powers': [726, 577, 380, 249], 'representative': 1286, 'size': 2}
  • id: 107520333
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 892, 'group_counter': 15, 'group_order': 4200, 'label': '420A-103', 'order': 420, 'powers': [725, 578, 379, 250], 'representative': 1234, 'size': 2}
  • id: 107520334
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 893, 'group_counter': 15, 'group_order': 4200, 'label': '420A113', 'order': 420, 'powers': [731, 573, 387, 253], 'representative': 706, 'size': 2}
  • id: 107520335
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 894, 'group_counter': 15, 'group_order': 4200, 'label': '420A-113', 'order': 420, 'powers': [732, 574, 388, 254], 'representative': 614, 'size': 2}
  • id: 107520336
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 895, 'group_counter': 15, 'group_order': 4200, 'label': '420A131', 'order': 420, 'powers': [718, 570, 385, 257], 'representative': 1222, 'size': 2}
  • id: 107520337
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 896, 'group_counter': 15, 'group_order': 4200, 'label': '420A-131', 'order': 420, 'powers': [717, 569, 386, 258], 'representative': 1298, 'size': 2}
  • id: 107520338
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 897, 'group_counter': 15, 'group_order': 4200, 'label': '420A143', 'order': 420, 'powers': [727, 567, 381, 260], 'representative': 1846, 'size': 2}
  • id: 107520339
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 898, 'group_counter': 15, 'group_order': 4200, 'label': '420A-143', 'order': 420, 'powers': [728, 568, 382, 259], 'representative': 1874, 'size': 2}
  • id: 107520340
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 899, 'group_counter': 15, 'group_order': 4200, 'label': '420A173', 'order': 420, 'powers': [719, 581, 379, 253], 'representative': 1306, 'size': 2}
  • id: 107520343
    {'aut_label': '420A1', 'centralizer': '2.a1.a1', 'counter': 900, 'group_counter': 15, 'group_order': 4200, 'label': '420A-173', 'order': 420, 'powers': [720, 582, 380, 254], 'representative': 1214, 'size': 2}
  • id: 107520344
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 901, 'group_counter': 15, 'group_order': 4200, 'label': '420B1', 'order': 420, 'powers': [733, 589, 383, 265], 'representative': 130, 'size': 2}
  • id: 107520345
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 902, 'group_counter': 15, 'group_order': 4200, 'label': '420B-1', 'order': 420, 'powers': [734, 590, 384, 266], 'representative': 230, 'size': 2}
  • id: 107520346
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 903, 'group_counter': 15, 'group_order': 4200, 'label': '420B11', 'order': 420, 'powers': [735, 595, 380, 266], 'representative': 1430, 'size': 2}
  • id: 107520347
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 904, 'group_counter': 15, 'group_order': 4200, 'label': '420B-11', 'order': 420, 'powers': [736, 596, 379, 265], 'representative': 1330, 'size': 2}
  • id: 107520348
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 905, 'group_counter': 15, 'group_order': 4200, 'label': '420B13', 'order': 420, 'powers': [737, 597, 383, 269], 'representative': 1570, 'size': 2}
  • id: 107520349
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 906, 'group_counter': 15, 'group_order': 4200, 'label': '420B-13', 'order': 420, 'powers': [738, 598, 384, 270], 'representative': 1670, 'size': 2}
  • id: 107520350
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 907, 'group_counter': 15, 'group_order': 4200, 'label': '420B17', 'order': 420, 'powers': [739, 599, 386, 268], 'representative': 2090, 'size': 2}
  • id: 107520351
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 908, 'group_counter': 15, 'group_order': 4200, 'label': '420B-17', 'order': 420, 'powers': [740, 600, 385, 267], 'representative': 2110, 'size': 2}
  • id: 107520352
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 909, 'group_counter': 15, 'group_order': 4200, 'label': '420B19', 'order': 420, 'powers': [741, 601, 378, 271], 'representative': 1990, 'size': 2}
  • id: 107520354
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 910, 'group_counter': 15, 'group_order': 4200, 'label': '420B-19', 'order': 420, 'powers': [742, 602, 377, 272], 'representative': 1970, 'size': 2}
  • id: 107520355
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 911, 'group_counter': 15, 'group_order': 4200, 'label': '420B23', 'order': 420, 'powers': [743, 603, 388, 270], 'representative': 1550, 'size': 2}
  • id: 107520356
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 912, 'group_counter': 15, 'group_order': 4200, 'label': '420B-23', 'order': 420, 'powers': [744, 604, 387, 269], 'representative': 1450, 'size': 2}
  • id: 107520357
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 913, 'group_counter': 15, 'group_order': 4200, 'label': '420B29', 'order': 420, 'powers': [745, 607, 382, 272], 'representative': 770, 'size': 2}
  • id: 107520358
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 914, 'group_counter': 15, 'group_order': 4200, 'label': '420B-29', 'order': 420, 'powers': [746, 608, 381, 271], 'representative': 790, 'size': 2}
  • id: 107520359
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 915, 'group_counter': 15, 'group_order': 4200, 'label': '420B31', 'order': 420, 'powers': [747, 609, 385, 271], 'representative': 550, 'size': 2}
  • id: 107520360
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 916, 'group_counter': 15, 'group_order': 4200, 'label': '420B-31', 'order': 420, 'powers': [748, 610, 386, 272], 'representative': 530, 'size': 2}
  • id: 107520361
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 917, 'group_counter': 15, 'group_order': 4200, 'label': '420B37', 'order': 420, 'powers': [749, 611, 387, 269], 'representative': 250, 'size': 2}
  • id: 107520362
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 918, 'group_counter': 15, 'group_order': 4200, 'label': '420B-37', 'order': 420, 'powers': [750, 612, 388, 270], 'representative': 350, 'size': 2}
  • id: 107520363
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 919, 'group_counter': 15, 'group_order': 4200, 'label': '420B43', 'order': 420, 'powers': [751, 605, 381, 267], 'representative': 1030, 'size': 2}
  • id: 107520365
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 920, 'group_counter': 15, 'group_order': 4200, 'label': '420B-43', 'order': 420, 'powers': [752, 606, 382, 268], 'representative': 1010, 'size': 2}
  • id: 107520366
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 921, 'group_counter': 15, 'group_order': 4200, 'label': '420B61', 'order': 420, 'powers': [753, 593, 387, 265], 'representative': 1090, 'size': 2}
  • id: 107520367
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 922, 'group_counter': 15, 'group_order': 4200, 'label': '420B-61', 'order': 420, 'powers': [754, 594, 388, 266], 'representative': 1190, 'size': 2}
  • id: 107520368
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 923, 'group_counter': 15, 'group_order': 4200, 'label': '420B67', 'order': 420, 'powers': [755, 591, 385, 267], 'representative': 430, 'size': 2}
  • id: 107520369
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 924, 'group_counter': 15, 'group_order': 4200, 'label': '420B-67', 'order': 420, 'powers': [756, 592, 386, 268], 'representative': 410, 'size': 2}
  • id: 107520370
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 925, 'group_counter': 15, 'group_order': 4200, 'label': '420B73', 'order': 420, 'powers': [755, 592, 379, 269], 'representative': 370, 'size': 2}
  • id: 107520371
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 926, 'group_counter': 15, 'group_order': 4200, 'label': '420B-73', 'order': 420, 'powers': [756, 591, 380, 270], 'representative': 470, 'size': 2}
  • id: 107520372
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 927, 'group_counter': 15, 'group_order': 4200, 'label': '420B79', 'order': 420, 'powers': [753, 594, 378, 271], 'representative': 1150, 'size': 2}
  • id: 107520373
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 928, 'group_counter': 15, 'group_order': 4200, 'label': '420B-79', 'order': 420, 'powers': [754, 593, 377, 272], 'representative': 1130, 'size': 2}
  • id: 107520374
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 929, 'group_counter': 15, 'group_order': 4200, 'label': '420B97', 'order': 420, 'powers': [751, 606, 383, 269], 'representative': 970, 'size': 2}
  • id: 107520376
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 930, 'group_counter': 15, 'group_order': 4200, 'label': '420B-97', 'order': 420, 'powers': [752, 605, 384, 270], 'representative': 1070, 'size': 2}
  • id: 107520377
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 931, 'group_counter': 15, 'group_order': 4200, 'label': '420B103', 'order': 420, 'powers': [749, 612, 378, 267], 'representative': 310, 'size': 2}
  • id: 107520378
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 932, 'group_counter': 15, 'group_order': 4200, 'label': '420B-103', 'order': 420, 'powers': [750, 611, 377, 268], 'representative': 290, 'size': 2}
  • id: 107520379
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 933, 'group_counter': 15, 'group_order': 4200, 'label': '420B109', 'order': 420, 'powers': [747, 610, 379, 265], 'representative': 490, 'size': 2}
  • id: 107520380
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 934, 'group_counter': 15, 'group_order': 4200, 'label': '420B-109', 'order': 420, 'powers': [748, 609, 380, 266], 'representative': 590, 'size': 2}
  • id: 107520381
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 935, 'group_counter': 15, 'group_order': 4200, 'label': '420B121', 'order': 420, 'powers': [741, 602, 387, 265], 'representative': 1930, 'size': 2}
  • id: 107520382
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 936, 'group_counter': 15, 'group_order': 4200, 'label': '420B-121', 'order': 420, 'powers': [742, 601, 388, 266], 'representative': 2030, 'size': 2}
  • id: 107520383
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 937, 'group_counter': 15, 'group_order': 4200, 'label': '420B127', 'order': 420, 'powers': [737, 598, 381, 267], 'representative': 1630, 'size': 2}
  • id: 107520384
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 938, 'group_counter': 15, 'group_order': 4200, 'label': '420B-127', 'order': 420, 'powers': [738, 597, 382, 268], 'representative': 1610, 'size': 2}
  • id: 107520385
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 939, 'group_counter': 15, 'group_order': 4200, 'label': '420B139', 'order': 420, 'powers': [733, 590, 381, 271], 'representative': 190, 'size': 2}
  • id: 107520387
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 940, 'group_counter': 15, 'group_order': 4200, 'label': '420B-139', 'order': 420, 'powers': [734, 589, 382, 272], 'representative': 170, 'size': 2}
  • id: 107520388
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 941, 'group_counter': 15, 'group_order': 4200, 'label': '420B151', 'order': 420, 'powers': [736, 595, 385, 271], 'representative': 1390, 'size': 2}
  • id: 107520389
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 942, 'group_counter': 15, 'group_order': 4200, 'label': '420B-151', 'order': 420, 'powers': [735, 596, 386, 272], 'representative': 1370, 'size': 2}
  • id: 107520390
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 943, 'group_counter': 15, 'group_order': 4200, 'label': '420B157', 'order': 420, 'powers': [740, 599, 379, 269], 'representative': 2050, 'size': 2}
  • id: 107520391
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 944, 'group_counter': 15, 'group_order': 4200, 'label': '420B-157', 'order': 420, 'powers': [739, 600, 380, 270], 'representative': 2150, 'size': 2}
  • id: 107520392
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 945, 'group_counter': 15, 'group_order': 4200, 'label': '420B163', 'order': 420, 'powers': [744, 603, 378, 267], 'representative': 1510, 'size': 2}
  • id: 107520393
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 946, 'group_counter': 15, 'group_order': 4200, 'label': '420B-163', 'order': 420, 'powers': [743, 604, 377, 268], 'representative': 1490, 'size': 2}
  • id: 107520394
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 947, 'group_counter': 15, 'group_order': 4200, 'label': '420B169', 'order': 420, 'powers': [746, 607, 383, 265], 'representative': 730, 'size': 2}
  • id: 107520395
    {'aut_label': '420B1', 'centralizer': '2.a1.a1', 'counter': 948, 'group_counter': 15, 'group_order': 4200, 'label': '420B-169', 'order': 420, 'powers': [745, 608, 384, 266], 'representative': 830, 'size': 2}
  • id: 107520396
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 949, 'group_counter': 15, 'group_order': 4200, 'label': '420C1', 'order': 420, 'powers': [757, 613, 382, 273], 'representative': 122, 'size': 2}
  • id: 107520398
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 950, 'group_counter': 15, 'group_order': 4200, 'label': '420C-1', 'order': 420, 'powers': [758, 614, 381, 274], 'representative': 238, 'size': 2}
  • id: 107520399
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 951, 'group_counter': 15, 'group_order': 4200, 'label': '420C11', 'order': 420, 'powers': [759, 619, 385, 277], 'representative': 1342, 'size': 2}
  • id: 107520400
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 952, 'group_counter': 15, 'group_order': 4200, 'label': '420C-11', 'order': 420, 'powers': [760, 620, 386, 278], 'representative': 1418, 'size': 2}
  • id: 107520401
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 953, 'group_counter': 15, 'group_order': 4200, 'label': '420C13', 'order': 420, 'powers': [761, 621, 382, 279], 'representative': 1586, 'size': 2}
  • id: 107520402
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 954, 'group_counter': 15, 'group_order': 4200, 'label': '420C-13', 'order': 420, 'powers': [762, 622, 381, 280], 'representative': 1654, 'size': 2}
  • id: 107520403
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 955, 'group_counter': 15, 'group_order': 4200, 'label': '420C17', 'order': 420, 'powers': [763, 623, 379, 281], 'representative': 2074, 'size': 2}
  • id: 107520404
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 956, 'group_counter': 15, 'group_order': 4200, 'label': '420C-17', 'order': 420, 'powers': [764, 624, 380, 282], 'representative': 2126, 'size': 2}
  • id: 107520405
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 957, 'group_counter': 15, 'group_order': 4200, 'label': '420C19', 'order': 420, 'powers': [765, 625, 388, 283], 'representative': 1958, 'size': 2}
  • id: 107520406
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 958, 'group_counter': 15, 'group_order': 4200, 'label': '420C-19', 'order': 420, 'powers': [766, 626, 387, 284], 'representative': 2002, 'size': 2}
  • id: 107520407
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 959, 'group_counter': 15, 'group_order': 4200, 'label': '420C23', 'order': 420, 'powers': [767, 627, 378, 285], 'representative': 1486, 'size': 2}
  • id: 107520409
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 960, 'group_counter': 15, 'group_order': 4200, 'label': '420C-23', 'order': 420, 'powers': [768, 628, 377, 286], 'representative': 1514, 'size': 2}
  • id: 107520410
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 961, 'group_counter': 15, 'group_order': 4200, 'label': '420C29', 'order': 420, 'powers': [769, 631, 383, 287], 'representative': 778, 'size': 2}
  • id: 107520411
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 962, 'group_counter': 15, 'group_order': 4200, 'label': '420C-29', 'order': 420, 'powers': [770, 632, 384, 288], 'representative': 782, 'size': 2}
  • id: 107520412
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 963, 'group_counter': 15, 'group_order': 4200, 'label': '420C31', 'order': 420, 'powers': [771, 633, 380, 288], 'representative': 542, 'size': 2}
  • id: 107520413
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 964, 'group_counter': 15, 'group_order': 4200, 'label': '420C-31', 'order': 420, 'powers': [772, 634, 379, 287], 'representative': 538, 'size': 2}
  • id: 107520414
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 965, 'group_counter': 15, 'group_order': 4200, 'label': '420C37', 'order': 420, 'powers': [773, 637, 377, 286], 'representative': 314, 'size': 2}
  • id: 107520415
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 966, 'group_counter': 15, 'group_order': 4200, 'label': '420C-37', 'order': 420, 'powers': [774, 638, 378, 285], 'representative': 286, 'size': 2}
  • id: 107520416
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 967, 'group_counter': 15, 'group_order': 4200, 'label': '420C41', 'order': 420, 'powers': [775, 641, 383, 284], 'representative': 802, 'size': 2}
  • id: 107520417
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 968, 'group_counter': 15, 'group_order': 4200, 'label': '420C-41', 'order': 420, 'powers': [776, 642, 384, 283], 'representative': 758, 'size': 2}
  • id: 107520418
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 969, 'group_counter': 15, 'group_order': 4200, 'label': '420C43', 'order': 420, 'powers': [777, 643, 384, 282], 'representative': 1046, 'size': 2}
  • id: 107520420
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 970, 'group_counter': 15, 'group_order': 4200, 'label': '420C-43', 'order': 420, 'powers': [778, 644, 383, 281], 'representative': 994, 'size': 2}
  • id: 107520421
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 971, 'group_counter': 15, 'group_order': 4200, 'label': '420C47', 'order': 420, 'powers': [779, 645, 378, 280], 'representative': 1534, 'size': 2}
  • id: 107520422
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 972, 'group_counter': 15, 'group_order': 4200, 'label': '420C-47', 'order': 420, 'powers': [780, 646, 377, 279], 'representative': 1466, 'size': 2}
  • id: 107520423
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 973, 'group_counter': 15, 'group_order': 4200, 'label': '420C53', 'order': 420, 'powers': [781, 649, 379, 276], 'representative': 2146, 'size': 2}
  • id: 107520424
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 974, 'group_counter': 15, 'group_order': 4200, 'label': '420C-53', 'order': 420, 'powers': [782, 650, 380, 275], 'representative': 2054, 'size': 2}
  • id: 107520425
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 975, 'group_counter': 15, 'group_order': 4200, 'label': '420C59', 'order': 420, 'powers': [783, 653, 385, 274], 'representative': 1438, 'size': 2}
  • id: 107520426
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 976, 'group_counter': 15, 'group_order': 4200, 'label': '420C-59', 'order': 420, 'powers': [784, 654, 386, 273], 'representative': 1322, 'size': 2}
  • id: 107520427
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 977, 'group_counter': 15, 'group_order': 4200, 'label': '420C61', 'order': 420, 'powers': [785, 655, 377, 273], 'representative': 1082, 'size': 2}
  • id: 107520428
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 978, 'group_counter': 15, 'group_order': 4200, 'label': '420C-61', 'order': 420, 'powers': [786, 656, 378, 274], 'representative': 1198, 'size': 2}
  • id: 107520429
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 979, 'group_counter': 15, 'group_order': 4200, 'label': '420C67', 'order': 420, 'powers': [787, 657, 380, 275], 'representative': 374, 'size': 2}
  • id: 107520431
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 980, 'group_counter': 15, 'group_order': 4200, 'label': '420C-67', 'order': 420, 'powers': [788, 658, 379, 276], 'representative': 466, 'size': 2}
  • id: 107520432
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 981, 'group_counter': 15, 'group_order': 4200, 'label': '420C71', 'order': 420, 'powers': [789, 660, 381, 277], 'representative': 142, 'size': 2}
  • id: 107520433
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 982, 'group_counter': 15, 'group_order': 4200, 'label': '420C-71', 'order': 420, 'powers': [790, 659, 382, 278], 'representative': 218, 'size': 2}
  • id: 107520434
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 983, 'group_counter': 15, 'group_order': 4200, 'label': '420C73', 'order': 420, 'powers': [791, 658, 386, 279], 'representative': 386, 'size': 2}
  • id: 107520435
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 984, 'group_counter': 15, 'group_order': 4200, 'label': '420C-73', 'order': 420, 'powers': [792, 657, 385, 280], 'representative': 454, 'size': 2}
  • id: 107520436
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 985, 'group_counter': 15, 'group_order': 4200, 'label': '420C79', 'order': 420, 'powers': [793, 656, 388, 283], 'representative': 1118, 'size': 2}
  • id: 107520437
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 986, 'group_counter': 15, 'group_order': 4200, 'label': '420C-79', 'order': 420, 'powers': [794, 655, 387, 284], 'representative': 1162, 'size': 2}
  • id: 107520438
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 987, 'group_counter': 15, 'group_order': 4200, 'label': '420C83', 'order': 420, 'powers': [795, 652, 381, 285], 'representative': 1606, 'size': 2}
  • id: 107520439
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 988, 'group_counter': 15, 'group_order': 4200, 'label': '420C-83', 'order': 420, 'powers': [796, 651, 382, 286], 'representative': 1634, 'size': 2}
  • id: 107520440
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 989, 'group_counter': 15, 'group_order': 4200, 'label': '420C89', 'order': 420, 'powers': [797, 648, 387, 287], 'representative': 1978, 'size': 2}
  • id: 107520442
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 990, 'group_counter': 15, 'group_order': 4200, 'label': '420C-89', 'order': 420, 'powers': [798, 647, 388, 288], 'representative': 1982, 'size': 2}
  • id: 107520443
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 991, 'group_counter': 15, 'group_order': 4200, 'label': '420C97', 'order': 420, 'powers': [799, 644, 382, 286], 'representative': 1034, 'size': 2}
  • id: 107520444
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 992, 'group_counter': 15, 'group_order': 4200, 'label': '420C-97', 'order': 420, 'powers': [800, 643, 381, 285], 'representative': 1006, 'size': 2}
  • id: 107520445
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 993, 'group_counter': 15, 'group_order': 4200, 'label': '420C101', 'order': 420, 'powers': [801, 640, 379, 284], 'representative': 562, 'size': 2}
  • id: 107520446
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 994, 'group_counter': 15, 'group_order': 4200, 'label': '420C-101', 'order': 420, 'powers': [802, 639, 380, 283], 'representative': 518, 'size': 2}
  • id: 107520447
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 995, 'group_counter': 15, 'group_order': 4200, 'label': '420C103', 'order': 420, 'powers': [803, 638, 388, 282], 'representative': 326, 'size': 2}
  • id: 107520448
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 996, 'group_counter': 15, 'group_order': 4200, 'label': '420C-103', 'order': 420, 'powers': [804, 637, 387, 281], 'representative': 274, 'size': 2}
  • id: 107520449
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 997, 'group_counter': 15, 'group_order': 4200, 'label': '420C107', 'order': 420, 'powers': [804, 636, 378, 280], 'representative': 334, 'size': 2}
  • id: 107520450
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 998, 'group_counter': 15, 'group_order': 4200, 'label': '420C-107', 'order': 420, 'powers': [803, 635, 377, 279], 'representative': 266, 'size': 2}
  • id: 107520451
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 999, 'group_counter': 15, 'group_order': 4200, 'label': '420C109', 'order': 420, 'powers': [802, 634, 386, 278], 'representative': 578, 'size': 2}
  • id: 107519315
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1000, 'group_counter': 15, 'group_order': 4200, 'label': '420C-109', 'order': 420, 'powers': [801, 633, 385, 277], 'representative': 502, 'size': 2}
  • id: 107519316
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1001, 'group_counter': 15, 'group_order': 4200, 'label': '420C113', 'order': 420, 'powers': [800, 630, 383, 276], 'representative': 1066, 'size': 2}
  • id: 107519317
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1002, 'group_counter': 15, 'group_order': 4200, 'label': '420C-113', 'order': 420, 'powers': [799, 629, 384, 275], 'representative': 974, 'size': 2}
  • id: 107519318
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1003, 'group_counter': 15, 'group_order': 4200, 'label': '420C121', 'order': 420, 'powers': [798, 626, 377, 273], 'representative': 1922, 'size': 2}
  • id: 107519319
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1004, 'group_counter': 15, 'group_order': 4200, 'label': '420C-121', 'order': 420, 'powers': [797, 625, 378, 274], 'representative': 2038, 'size': 2}
  • id: 107519320
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1005, 'group_counter': 15, 'group_order': 4200, 'label': '420C127', 'order': 420, 'powers': [796, 622, 384, 275], 'representative': 1574, 'size': 2}
  • id: 107519321
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1006, 'group_counter': 15, 'group_order': 4200, 'label': '420C-127', 'order': 420, 'powers': [795, 621, 383, 276], 'representative': 1666, 'size': 2}
  • id: 107519322
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1007, 'group_counter': 15, 'group_order': 4200, 'label': '420C131', 'order': 420, 'powers': [794, 618, 378, 277], 'representative': 1102, 'size': 2}
  • id: 107519323
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1008, 'group_counter': 15, 'group_order': 4200, 'label': '420C-131', 'order': 420, 'powers': [793, 617, 377, 278], 'representative': 1178, 'size': 2}
  • id: 107519324
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1009, 'group_counter': 15, 'group_order': 4200, 'label': '420C137', 'order': 420, 'powers': [792, 616, 379, 281], 'representative': 394, 'size': 2}
  • id: 107519326
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1010, 'group_counter': 15, 'group_order': 4200, 'label': '420C-137', 'order': 420, 'powers': [791, 615, 380, 282], 'representative': 446, 'size': 2}
  • id: 107519327
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1011, 'group_counter': 15, 'group_order': 4200, 'label': '420C139', 'order': 420, 'powers': [790, 614, 384, 283], 'representative': 158, 'size': 2}
  • id: 107519328
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1012, 'group_counter': 15, 'group_order': 4200, 'label': '420C-139', 'order': 420, 'powers': [789, 613, 383, 284], 'representative': 202, 'size': 2}
  • id: 107519329
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1013, 'group_counter': 15, 'group_order': 4200, 'label': '420C143', 'order': 420, 'powers': [788, 615, 385, 285], 'representative': 406, 'size': 2}
  • id: 107519330
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1014, 'group_counter': 15, 'group_order': 4200, 'label': '420C-143', 'order': 420, 'powers': [787, 616, 386, 286], 'representative': 434, 'size': 2}
  • id: 107519331
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1015, 'group_counter': 15, 'group_order': 4200, 'label': '420C149', 'order': 420, 'powers': [786, 617, 387, 287], 'representative': 1138, 'size': 2}
  • id: 107519332
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1016, 'group_counter': 15, 'group_order': 4200, 'label': '420C-149', 'order': 420, 'powers': [785, 618, 388, 288], 'representative': 1142, 'size': 2}
  • id: 107519333
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1017, 'group_counter': 15, 'group_order': 4200, 'label': '420C151', 'order': 420, 'powers': [784, 619, 380, 288], 'representative': 1382, 'size': 2}
  • id: 107519334
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1018, 'group_counter': 15, 'group_order': 4200, 'label': '420C-151', 'order': 420, 'powers': [783, 620, 379, 287], 'representative': 1378, 'size': 2}
  • id: 107519335
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1019, 'group_counter': 15, 'group_order': 4200, 'label': '420C157', 'order': 420, 'powers': [782, 623, 386, 286], 'representative': 2114, 'size': 2}
  • id: 107519337
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1020, 'group_counter': 15, 'group_order': 4200, 'label': '420C-157', 'order': 420, 'powers': [781, 624, 385, 285], 'representative': 2086, 'size': 2}
  • id: 107519338
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1021, 'group_counter': 15, 'group_order': 4200, 'label': '420C163', 'order': 420, 'powers': [780, 627, 388, 282], 'representative': 1526, 'size': 2}
  • id: 107519339
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1022, 'group_counter': 15, 'group_order': 4200, 'label': '420C-163', 'order': 420, 'powers': [779, 628, 387, 281], 'representative': 1474, 'size': 2}
  • id: 107519340
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1023, 'group_counter': 15, 'group_order': 4200, 'label': '420C167', 'order': 420, 'powers': [778, 629, 381, 280], 'representative': 1054, 'size': 2}
  • id: 107519341
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1024, 'group_counter': 15, 'group_order': 4200, 'label': '420C-167', 'order': 420, 'powers': [777, 630, 382, 279], 'representative': 986, 'size': 2}
  • id: 107519342
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1025, 'group_counter': 15, 'group_order': 4200, 'label': '420C169', 'order': 420, 'powers': [776, 631, 382, 278], 'representative': 818, 'size': 2}
  • id: 107519343
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1026, 'group_counter': 15, 'group_order': 4200, 'label': '420C-169', 'order': 420, 'powers': [775, 632, 381, 277], 'representative': 742, 'size': 2}
  • id: 107519344
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1027, 'group_counter': 15, 'group_order': 4200, 'label': '420C173', 'order': 420, 'powers': [774, 635, 387, 276], 'representative': 346, 'size': 2}
  • id: 107519345
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1028, 'group_counter': 15, 'group_order': 4200, 'label': '420C-173', 'order': 420, 'powers': [773, 636, 388, 275], 'representative': 254, 'size': 2}
  • id: 107519346
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1029, 'group_counter': 15, 'group_order': 4200, 'label': '420C179', 'order': 420, 'powers': [772, 639, 385, 274], 'representative': 598, 'size': 2}
  • id: 107519348
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1030, 'group_counter': 15, 'group_order': 4200, 'label': '420C-179', 'order': 420, 'powers': [771, 640, 386, 273], 'representative': 482, 'size': 2}
  • id: 107519349
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1031, 'group_counter': 15, 'group_order': 4200, 'label': '420C181', 'order': 420, 'powers': [770, 641, 382, 273], 'representative': 722, 'size': 2}
  • id: 107519350
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1032, 'group_counter': 15, 'group_order': 4200, 'label': '420C-181', 'order': 420, 'powers': [769, 642, 381, 274], 'representative': 838, 'size': 2}
  • id: 107519351
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1033, 'group_counter': 15, 'group_order': 4200, 'label': '420C187', 'order': 420, 'powers': [768, 645, 388, 275], 'representative': 1454, 'size': 2}
  • id: 107519352
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1034, 'group_counter': 15, 'group_order': 4200, 'label': '420C-187', 'order': 420, 'powers': [767, 646, 387, 276], 'representative': 1546, 'size': 2}
  • id: 107519353
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1035, 'group_counter': 15, 'group_order': 4200, 'label': '420C191', 'order': 420, 'powers': [766, 647, 378, 277], 'representative': 1942, 'size': 2}
  • id: 107519354
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1036, 'group_counter': 15, 'group_order': 4200, 'label': '420C-191', 'order': 420, 'powers': [765, 648, 377, 278], 'representative': 2018, 'size': 2}
  • id: 107519355
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1037, 'group_counter': 15, 'group_order': 4200, 'label': '420C193', 'order': 420, 'powers': [764, 649, 386, 279], 'representative': 2066, 'size': 2}
  • id: 107519356
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1038, 'group_counter': 15, 'group_order': 4200, 'label': '420C-193', 'order': 420, 'powers': [763, 650, 385, 280], 'representative': 2134, 'size': 2}
  • id: 107519357
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1039, 'group_counter': 15, 'group_order': 4200, 'label': '420C197', 'order': 420, 'powers': [762, 651, 383, 281], 'representative': 1594, 'size': 2}
  • id: 107519359
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1040, 'group_counter': 15, 'group_order': 4200, 'label': '420C-197', 'order': 420, 'powers': [761, 652, 384, 282], 'representative': 1646, 'size': 2}
  • id: 107519360
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1041, 'group_counter': 15, 'group_order': 4200, 'label': '420C199', 'order': 420, 'powers': [760, 653, 380, 283], 'representative': 1358, 'size': 2}
  • id: 107519361
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1042, 'group_counter': 15, 'group_order': 4200, 'label': '420C-199', 'order': 420, 'powers': [759, 654, 379, 284], 'representative': 1402, 'size': 2}
  • id: 107519362
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1043, 'group_counter': 15, 'group_order': 4200, 'label': '420C209', 'order': 420, 'powers': [758, 659, 383, 287], 'representative': 178, 'size': 2}
  • id: 107519363
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1044, 'group_counter': 15, 'group_order': 4200, 'label': '420C-209', 'order': 420, 'powers': [757, 660, 384, 288], 'representative': 182, 'size': 2}
  • id: 107519364
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1045, 'group_counter': 15, 'group_order': 4200, 'label': '420D1', 'order': 420, 'powers': [805, 661, 377, 289], 'representative': 242, 'size': 2}
  • id: 107519365
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1046, 'group_counter': 15, 'group_order': 4200, 'label': '420D-1', 'order': 420, 'powers': [806, 662, 378, 290], 'representative': 358, 'size': 2}
  • id: 107519366
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1047, 'group_counter': 15, 'group_order': 4200, 'label': '420D11', 'order': 420, 'powers': [807, 667, 381, 293], 'representative': 1582, 'size': 2}
  • id: 107519367
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1048, 'group_counter': 15, 'group_order': 4200, 'label': '420D-11', 'order': 420, 'powers': [808, 668, 382, 294], 'representative': 1658, 'size': 2}
  • id: 107519368
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1049, 'group_counter': 15, 'group_order': 4200, 'label': '420D13', 'order': 420, 'powers': [809, 669, 377, 295], 'representative': 1106, 'size': 2}
  • id: 107519370
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1050, 'group_counter': 15, 'group_order': 4200, 'label': '420D-13', 'order': 420, 'powers': [810, 670, 378, 296], 'representative': 1174, 'size': 2}
  • id: 107519371
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1051, 'group_counter': 15, 'group_order': 4200, 'label': '420D17', 'order': 420, 'powers': [811, 671, 383, 297], 'representative': 154, 'size': 2}
  • id: 107519372
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1052, 'group_counter': 15, 'group_order': 4200, 'label': '420D-17', 'order': 420, 'powers': [812, 672, 384, 298], 'representative': 206, 'size': 2}
  • id: 107519373
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1053, 'group_counter': 15, 'group_order': 4200, 'label': '420D19', 'order': 420, 'powers': [813, 673, 380, 299], 'representative': 398, 'size': 2}
  • id: 107519374
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1054, 'group_counter': 15, 'group_order': 4200, 'label': '420D-19', 'order': 420, 'powers': [814, 674, 379, 300], 'representative': 442, 'size': 2}
  • id: 107519375
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1055, 'group_counter': 15, 'group_order': 4200, 'label': '420D23', 'order': 420, 'powers': [815, 675, 385, 301], 'representative': 1366, 'size': 2}
  • id: 107519376
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1056, 'group_counter': 15, 'group_order': 4200, 'label': '420D-23', 'order': 420, 'powers': [816, 676, 386, 302], 'representative': 1394, 'size': 2}
  • id: 107519377
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1057, 'group_counter': 15, 'group_order': 4200, 'label': '420D29', 'order': 420, 'powers': [817, 679, 387, 303], 'representative': 1498, 'size': 2}
  • id: 107519378
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1058, 'group_counter': 15, 'group_order': 4200, 'label': '420D-29', 'order': 420, 'powers': [818, 680, 388, 304], 'representative': 1502, 'size': 2}
  • id: 107519379
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1059, 'group_counter': 15, 'group_order': 4200, 'label': '420D31', 'order': 420, 'powers': [819, 681, 384, 304], 'representative': 1022, 'size': 2}
  • id: 107519381
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1060, 'group_counter': 15, 'group_order': 4200, 'label': '420D-31', 'order': 420, 'powers': [820, 682, 383, 303], 'representative': 1018, 'size': 2}
  • id: 107519382
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1061, 'group_counter': 15, 'group_order': 4200, 'label': '420D37', 'order': 420, 'powers': [821, 685, 386, 302], 'representative': 554, 'size': 2}
  • id: 107519383
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1062, 'group_counter': 15, 'group_order': 4200, 'label': '420D-37', 'order': 420, 'powers': [822, 686, 385, 301], 'representative': 526, 'size': 2}
  • id: 107519384
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1063, 'group_counter': 15, 'group_order': 4200, 'label': '420D41', 'order': 420, 'powers': [823, 689, 387, 300], 'representative': 1522, 'size': 2}
  • id: 107519385
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1064, 'group_counter': 15, 'group_order': 4200, 'label': '420D-41', 'order': 420, 'powers': [824, 690, 388, 299], 'representative': 1478, 'size': 2}
  • id: 107519386
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1065, 'group_counter': 15, 'group_order': 4200, 'label': '420D43', 'order': 420, 'powers': [825, 691, 388, 298], 'representative': 2006, 'size': 2}
  • id: 107519387
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1066, 'group_counter': 15, 'group_order': 4200, 'label': '420D-43', 'order': 420, 'powers': [826, 692, 387, 297], 'representative': 1954, 'size': 2}
  • id: 107519388
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1067, 'group_counter': 15, 'group_order': 4200, 'label': '420D47', 'order': 420, 'powers': [827, 693, 385, 296], 'representative': 1414, 'size': 2}
  • id: 107519389
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1068, 'group_counter': 15, 'group_order': 4200, 'label': '420D-47', 'order': 420, 'powers': [828, 694, 386, 295], 'representative': 1346, 'size': 2}
  • id: 107519390
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1069, 'group_counter': 15, 'group_order': 4200, 'label': '420D53', 'order': 420, 'powers': [829, 697, 383, 292], 'representative': 226, 'size': 2}
  • id: 107519392
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1070, 'group_counter': 15, 'group_order': 4200, 'label': '420D-53', 'order': 420, 'powers': [830, 698, 384, 291], 'representative': 134, 'size': 2}
  • id: 107519393
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1071, 'group_counter': 15, 'group_order': 4200, 'label': '420D59', 'order': 420, 'powers': [831, 701, 381, 290], 'representative': 1678, 'size': 2}
  • id: 107519394
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1072, 'group_counter': 15, 'group_order': 4200, 'label': '420D-59', 'order': 420, 'powers': [832, 702, 382, 289], 'representative': 1562, 'size': 2}
  • id: 107519395
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1073, 'group_counter': 15, 'group_order': 4200, 'label': '420D61', 'order': 420, 'powers': [833, 703, 386, 289], 'representative': 2042, 'size': 2}
  • id: 107519396
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1074, 'group_counter': 15, 'group_order': 4200, 'label': '420D-61', 'order': 420, 'powers': [834, 704, 385, 290], 'representative': 2158, 'size': 2}
  • id: 107519397
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1075, 'group_counter': 15, 'group_order': 4200, 'label': '420D67', 'order': 420, 'powers': [835, 705, 384, 291], 'representative': 734, 'size': 2}
  • id: 107519398
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1076, 'group_counter': 15, 'group_order': 4200, 'label': '420D-67', 'order': 420, 'powers': [836, 706, 383, 292], 'representative': 826, 'size': 2}
  • id: 107519399
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1077, 'group_counter': 15, 'group_order': 4200, 'label': '420D71', 'order': 420, 'powers': [837, 708, 378, 293], 'representative': 262, 'size': 2}
  • id: 107519400
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1078, 'group_counter': 15, 'group_order': 4200, 'label': '420D-71', 'order': 420, 'powers': [838, 707, 377, 294], 'representative': 338, 'size': 2}
  • id: 107519401
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1079, 'group_counter': 15, 'group_order': 4200, 'label': '420D73', 'order': 420, 'powers': [839, 706, 382, 295], 'representative': 746, 'size': 2}
  • id: 107519403
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1080, 'group_counter': 15, 'group_order': 4200, 'label': '420D-73', 'order': 420, 'powers': [840, 705, 381, 296], 'representative': 814, 'size': 2}
  • id: 107519404
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1081, 'group_counter': 15, 'group_order': 4200, 'label': '420D79', 'order': 420, 'powers': [841, 704, 380, 299], 'representative': 2078, 'size': 2}
  • id: 107519405
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1082, 'group_counter': 15, 'group_order': 4200, 'label': '420D-79', 'order': 420, 'powers': [842, 703, 379, 300], 'representative': 2122, 'size': 2}
  • id: 107519406
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1083, 'group_counter': 15, 'group_order': 4200, 'label': '420D83', 'order': 420, 'powers': [843, 700, 378, 301], 'representative': 1126, 'size': 2}
  • id: 107519407
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1084, 'group_counter': 15, 'group_order': 4200, 'label': '420D-83', 'order': 420, 'powers': [844, 699, 377, 302], 'representative': 1154, 'size': 2}
  • id: 107519408
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1085, 'group_counter': 15, 'group_order': 4200, 'label': '420D89', 'order': 420, 'powers': [845, 696, 379, 303], 'representative': 418, 'size': 2}
  • id: 107519409
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1086, 'group_counter': 15, 'group_order': 4200, 'label': '420D-89', 'order': 420, 'powers': [846, 695, 380, 304], 'representative': 422, 'size': 2}
  • id: 107519410
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1087, 'group_counter': 15, 'group_order': 4200, 'label': '420D97', 'order': 420, 'powers': [847, 692, 377, 302], 'representative': 1994, 'size': 2}
  • id: 107519411
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1088, 'group_counter': 15, 'group_order': 4200, 'label': '420D-97', 'order': 420, 'powers': [848, 691, 378, 301], 'representative': 1966, 'size': 2}
  • id: 107519412
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1089, 'group_counter': 15, 'group_order': 4200, 'label': '420D101', 'order': 420, 'powers': [849, 688, 383, 300], 'representative': 1042, 'size': 2}
  • id: 107519414
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1090, 'group_counter': 15, 'group_order': 4200, 'label': '420D-101', 'order': 420, 'powers': [850, 687, 384, 299], 'representative': 998, 'size': 2}
  • id: 107519415
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1091, 'group_counter': 15, 'group_order': 4200, 'label': '420D103', 'order': 420, 'powers': [851, 686, 380, 298], 'representative': 566, 'size': 2}
  • id: 107519416
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1092, 'group_counter': 15, 'group_order': 4200, 'label': '420D-103', 'order': 420, 'powers': [852, 685, 379, 297], 'representative': 514, 'size': 2}
  • id: 107519417
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1093, 'group_counter': 15, 'group_order': 4200, 'label': '420D107', 'order': 420, 'powers': [852, 684, 385, 296], 'representative': 574, 'size': 2}
  • id: 107519418
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1094, 'group_counter': 15, 'group_order': 4200, 'label': '420D-107', 'order': 420, 'powers': [851, 683, 386, 295], 'representative': 506, 'size': 2}
  • id: 107519419
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1095, 'group_counter': 15, 'group_order': 4200, 'label': '420D109', 'order': 420, 'powers': [850, 682, 382, 294], 'representative': 1058, 'size': 2}
  • id: 107519420
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1096, 'group_counter': 15, 'group_order': 4200, 'label': '420D-109', 'order': 420, 'powers': [849, 681, 381, 293], 'representative': 982, 'size': 2}
  • id: 107519421
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1097, 'group_counter': 15, 'group_order': 4200, 'label': '420D113', 'order': 420, 'powers': [848, 678, 387, 292], 'representative': 2026, 'size': 2}
  • id: 107519422
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1098, 'group_counter': 15, 'group_order': 4200, 'label': '420D-113', 'order': 420, 'powers': [847, 677, 388, 291], 'representative': 1934, 'size': 2}
  • id: 107519423
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1099, 'group_counter': 15, 'group_order': 4200, 'label': '420D121', 'order': 420, 'powers': [846, 674, 386, 289], 'representative': 362, 'size': 2}
  • id: 107519426
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1100, 'group_counter': 15, 'group_order': 4200, 'label': '420D-121', 'order': 420, 'powers': [845, 673, 385, 290], 'representative': 478, 'size': 2}
  • id: 107519427
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1101, 'group_counter': 15, 'group_order': 4200, 'label': '420D127', 'order': 420, 'powers': [844, 670, 388, 291], 'representative': 1094, 'size': 2}
  • id: 107519428
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1102, 'group_counter': 15, 'group_order': 4200, 'label': '420D-127', 'order': 420, 'powers': [843, 669, 387, 292], 'representative': 1186, 'size': 2}
  • id: 107519429
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1103, 'group_counter': 15, 'group_order': 4200, 'label': '420D131', 'order': 420, 'powers': [842, 666, 385, 293], 'representative': 2062, 'size': 2}
  • id: 107519430
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1104, 'group_counter': 15, 'group_order': 4200, 'label': '420D-131', 'order': 420, 'powers': [841, 665, 386, 294], 'representative': 2138, 'size': 2}
  • id: 107519431
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1105, 'group_counter': 15, 'group_order': 4200, 'label': '420D137', 'order': 420, 'powers': [840, 664, 383, 297], 'representative': 754, 'size': 2}
  • id: 107519432
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1106, 'group_counter': 15, 'group_order': 4200, 'label': '420D-137', 'order': 420, 'powers': [839, 663, 384, 298], 'representative': 806, 'size': 2}
  • id: 107519433
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1107, 'group_counter': 15, 'group_order': 4200, 'label': '420D139', 'order': 420, 'powers': [838, 662, 388, 299], 'representative': 278, 'size': 2}
  • id: 107519434
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1108, 'group_counter': 15, 'group_order': 4200, 'label': '420D-139', 'order': 420, 'powers': [837, 661, 387, 300], 'representative': 322, 'size': 2}
  • id: 107519435
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1109, 'group_counter': 15, 'group_order': 4200, 'label': '420D143', 'order': 420, 'powers': [836, 663, 381, 301], 'representative': 766, 'size': 2}
  • id: 107519437
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1110, 'group_counter': 15, 'group_order': 4200, 'label': '420D-143', 'order': 420, 'powers': [835, 664, 382, 302], 'representative': 794, 'size': 2}
  • id: 107519438
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1111, 'group_counter': 15, 'group_order': 4200, 'label': '420D149', 'order': 420, 'powers': [834, 665, 379, 303], 'representative': 2098, 'size': 2}
  • id: 107519439
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1112, 'group_counter': 15, 'group_order': 4200, 'label': '420D-149', 'order': 420, 'powers': [833, 666, 380, 304], 'representative': 2102, 'size': 2}
  • id: 107519440
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1113, 'group_counter': 15, 'group_order': 4200, 'label': '420D151', 'order': 420, 'powers': [832, 667, 384, 304], 'representative': 1622, 'size': 2}
  • id: 107519441
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1114, 'group_counter': 15, 'group_order': 4200, 'label': '420D-151', 'order': 420, 'powers': [831, 668, 383, 303], 'representative': 1618, 'size': 2}
  • id: 107519442
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1115, 'group_counter': 15, 'group_order': 4200, 'label': '420D157', 'order': 420, 'powers': [830, 671, 382, 302], 'representative': 194, 'size': 2}
  • id: 107519443
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1116, 'group_counter': 15, 'group_order': 4200, 'label': '420D-157', 'order': 420, 'powers': [829, 672, 381, 301], 'representative': 166, 'size': 2}
  • id: 107519444
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1117, 'group_counter': 15, 'group_order': 4200, 'label': '420D163', 'order': 420, 'powers': [828, 675, 380, 298], 'representative': 1406, 'size': 2}
  • id: 107519445
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1118, 'group_counter': 15, 'group_order': 4200, 'label': '420D-163', 'order': 420, 'powers': [827, 676, 379, 297], 'representative': 1354, 'size': 2}
  • id: 107519446
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1119, 'group_counter': 15, 'group_order': 4200, 'label': '420D167', 'order': 420, 'powers': [826, 677, 378, 296], 'representative': 2014, 'size': 2}
  • id: 107519448
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1120, 'group_counter': 15, 'group_order': 4200, 'label': '420D-167', 'order': 420, 'powers': [825, 678, 377, 295], 'representative': 1946, 'size': 2}
  • id: 107519449
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1121, 'group_counter': 15, 'group_order': 4200, 'label': '420D169', 'order': 420, 'powers': [824, 679, 377, 294], 'representative': 1538, 'size': 2}
  • id: 107519450
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1122, 'group_counter': 15, 'group_order': 4200, 'label': '420D-169', 'order': 420, 'powers': [823, 680, 378, 293], 'representative': 1462, 'size': 2}
  • id: 107519451
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1123, 'group_counter': 15, 'group_order': 4200, 'label': '420D173', 'order': 420, 'powers': [822, 683, 379, 292], 'representative': 586, 'size': 2}
  • id: 107519452
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1124, 'group_counter': 15, 'group_order': 4200, 'label': '420D-173', 'order': 420, 'powers': [821, 684, 380, 291], 'representative': 494, 'size': 2}
  • id: 107519453
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1125, 'group_counter': 15, 'group_order': 4200, 'label': '420D179', 'order': 420, 'powers': [820, 687, 381, 290], 'representative': 1078, 'size': 2}
  • id: 107519454
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1126, 'group_counter': 15, 'group_order': 4200, 'label': '420D-179', 'order': 420, 'powers': [819, 688, 382, 289], 'representative': 962, 'size': 2}
  • id: 107519455
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1127, 'group_counter': 15, 'group_order': 4200, 'label': '420D181', 'order': 420, 'powers': [818, 689, 377, 289], 'representative': 1442, 'size': 2}
  • id: 107519456
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1128, 'group_counter': 15, 'group_order': 4200, 'label': '420D-181', 'order': 420, 'powers': [817, 690, 378, 290], 'representative': 1558, 'size': 2}
  • id: 107519457
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1129, 'group_counter': 15, 'group_order': 4200, 'label': '420D187', 'order': 420, 'powers': [816, 693, 380, 291], 'representative': 1334, 'size': 2}
  • id: 107519459
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1130, 'group_counter': 15, 'group_order': 4200, 'label': '420D-187', 'order': 420, 'powers': [815, 694, 379, 292], 'representative': 1426, 'size': 2}
  • id: 107519460
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1131, 'group_counter': 15, 'group_order': 4200, 'label': '420D191', 'order': 420, 'powers': [814, 695, 385, 293], 'representative': 382, 'size': 2}
  • id: 107519461
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1132, 'group_counter': 15, 'group_order': 4200, 'label': '420D-191', 'order': 420, 'powers': [813, 696, 386, 294], 'representative': 458, 'size': 2}
  • id: 107519462
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1133, 'group_counter': 15, 'group_order': 4200, 'label': '420D193', 'order': 420, 'powers': [812, 697, 382, 295], 'representative': 146, 'size': 2}
  • id: 107519463
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1134, 'group_counter': 15, 'group_order': 4200, 'label': '420D-193', 'order': 420, 'powers': [811, 698, 381, 296], 'representative': 214, 'size': 2}
  • id: 107519464
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1135, 'group_counter': 15, 'group_order': 4200, 'label': '420D197', 'order': 420, 'powers': [810, 699, 387, 297], 'representative': 1114, 'size': 2}
  • id: 107519465
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1136, 'group_counter': 15, 'group_order': 4200, 'label': '420D-197', 'order': 420, 'powers': [809, 700, 388, 298], 'representative': 1166, 'size': 2}
  • id: 107519466
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1137, 'group_counter': 15, 'group_order': 4200, 'label': '420D199', 'order': 420, 'powers': [808, 701, 384, 299], 'representative': 1598, 'size': 2}
  • id: 107519467
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1138, 'group_counter': 15, 'group_order': 4200, 'label': '420D-199', 'order': 420, 'powers': [807, 702, 383, 300], 'representative': 1642, 'size': 2}
  • id: 107519468
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1139, 'group_counter': 15, 'group_order': 4200, 'label': '420D209', 'order': 420, 'powers': [806, 707, 387, 303], 'representative': 298, 'size': 2}
  • id: 107519470
    {'aut_label': '420C1', 'centralizer': '2.a1.a1', 'counter': 1140, 'group_counter': 15, 'group_order': 4200, 'label': '420D-209', 'order': 420, 'powers': [805, 708, 388, 304], 'representative': 302, 'size': 2}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 3768554
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '4200.o', 'group_order': 4200, 'image': None, 'label': '4200.o.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3768565
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '4200.o', 'group_order': 4200, 'image': None, 'label': '4200.o.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3768576
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '4200.o', 'group_order': 4200, 'image': None, 'label': '4200.o.1c', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3768587
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  • id: 3768556
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  • id: 3768557
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  • id: 3768558
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  • id: 3768567
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  • id: 3768568
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  • id: 3768569
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  • id: 3768570
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  • id: 3768571
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  • id: 3768572
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  • id: 3768573
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  • id: 3768574
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  • id: 3768575
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  • id: 3768577
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  • id: 3768559
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  • id: 3768560
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  • id: 3768578
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  • id: 3768579
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  • id: 3768580
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  • id: 3768581
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  • id: 3768582
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  • id: 3768583
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  • id: 3768584
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  • id: 3768585
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  • id: 3768586
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  • id: 3768588
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  • id: 3768589
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  • id: 3768590
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  • id: 3768561
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  • id: 3768591
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  • id: 3768592
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  • id: 3768593
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  • id: 3768594
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  • id: 3768595
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  • id: 3768596
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  • id: 3768597
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  • id: 3768599
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  • id: 3768600
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  • id: 3768601
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  • id: 3768602
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  • id: 3768603
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  • id: 3768604
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  • id: 3768605
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  • id: 3768606
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  • id: 3768607
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  • id: 3768608
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  • id: 3768610
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  • id: 3768611
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  • id: 3768612
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  • id: 3768613
    {'cdim': 2, 'counter': 63, 'faithful': True, 'group': '4200.o', 'group_order': 4200, 'image': None, 'label': '4200.o.2au', 'multiplicity': 96, 'nt': [840, 0], 'qdim': 192, 'qvalues': [192, -192, -96, -96, 0, 0, -48, -48, -48, -48, -48, 72, 72, -48, -48, -48, -48, 72, -48, 72, 96, 96, -32, -32, -32, 0, 0, 0, 0, 48, 48, 48, 48, 48, 48, -72, 48, 48, -72, 48, -72, 48, -72, 0, 0, 0, 0, 32, 32, 32, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, -36, 24, -36, 24, -36, 24, -36, 24, 24, -36, -36, -36, -36, 24, 24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, 36, -24, -24, -24, 36, 36, -24, 36, -24, 36, 36, -24, -24, -24, 36, -24, 36, -12, 8, 8, 8, -12, -12, 8, 8, 8, 8, 8, -12, 8, 8, 8, -12, 8, 8, 8, 8, -12, -12, -12, 8, 8, 8, 8, 8, 8, 8, 8, 8, -12, -12, 8, -12, 8, 8, 8, -12, 8, 8, 8, -12, -12, -12, -12, -12, 8, 8, 8, 8, 8, 8, -12, -12, 8, 8, 8, 8, -12, 8, 8, 8, 8, 8, 8, -12, -12, -12, -12, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 12, -8, -8, -8, 12, -8, -8, -8, -8, 12, 12, -8, 12, -8, -8, -8, 12, -8, 12, -8, 12, -8, -8, -8, -8, 12, -8, -8, -8, -8, 12, 12, 12, 12, -8, 12, 12, 12, 12, 12, -8, -8, -8, 12, -8, 12, -8, 12, -8, -8, -8, -8, 12, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 12, -8, 12, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 6, 6, -4, 6, -4, 6, 6, -4, -4, -4, -4, -4, 6, -4, -4, -4, -4, -4, 6, -4, -4, -4, -4, 6, -4, -4, -4, -4, -4, -4, 6, 6, -4, 6, -4, -4, 6, -4, -4, 6, -4, -4, -4, -4, 6, -4, -4, -4, -4, -4, 6, 6, -4, 6, -4, -4, -4, -4, 6, 6, -4, -4, 6, -4, -4, 6, -4, 6, 6, -4, 6, 6, 6, 6, -4, -4, -4, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 6, -4, 6, -4, -4, -4, 6, 6, -4, 6, -4, -4, 6, 6, 6, -4, 6, -4, -4, -4, 6, -4, -4, 6, 6, 6, -4, -4, 6, -4, -4, -4, -4, 6, -4, -4, -4, -4, 6, -4, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 4, -6, 4, -6, 4, -6, -6, 4, 4, 4, 4, 4, 4, 4, 4, 4, -6, 4, 4, 4, 4, 4, -6, 4, 4, 4, 4, 4, -6, 4, -6, -6, 4, 4, -6, -6, -6, 4, 4, 4, -6, 4, 4, -6, -6, 4, 4, -6, 4, 4, -6, 4, -6, 4, 4, 4, 4, -6, 4, 4, 4, -6, 4, 4, -6, 4, 4, -6, 4, 4, -6, 4, 4, 4, 4, 4, 4, -6, 4, -6, -6, 4, 4, 4, 4, 4, -6, 4, 4, 4, -6, 4, -6, 4, -6, 4, 4, 4, 4, -6, 4, 4, 4, 4, 4, 4, 4, -6, -6, -6, 4, -6, -6, 4, 4, -6, 4, -6, 4, 4, 4, 4, -6, -6, 4, -6, -6, -6, -6, -6, 4, 4, 4, 4, 4, 4, -6, 4, 4, -6, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3768614
    {'cdim': 2, 'counter': 64, 'faithful': True, 'group': '4200.o', 'group_order': 4200, 'image': None, 'label': '4200.o.2av', 'multiplicity': 96, 'nt': [840, 0], 'qdim': 192, 'qvalues': [192, -192, -96, -96, 0, 0, -48, -48, -48, -48, 72, -48, -48, 72, 72, -48, -48, -48, 72, -48, 96, 96, -32, -32, -32, 0, 0, 0, 0, 48, 48, 48, 48, 48, 48, 48, -72, -72, 48, -72, 48, -72, 48, 0, 0, 0, 0, 32, 32, 32, 24, 24, 24, 24, 24, 24, 24, 24, -36, -36, 24, 24, -36, 24, -36, 24, -36, 24, -36, -36, 24, 24, 24, 24, 24, 24, 24, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, -24, -24, -24, -24, -24, 36, 36, -24, -24, -24, 36, 36, -24, -24, 36, -24, -24, -24, -24, 36, 36, 36, -24, -24, -24, 8, 8, 8, -12, 8, 8, 8, 8, 8, 8, -12, 8, -12, -12, 8, 8, -12, 8, -12, 8, 8, 8, 8, -12, -12, 8, -12, 8, 8, -12, 8, 8, 8, 8, 8, 8, -12, -12, -12, 8, 8, -12, -12, 8, 8, 8, 8, 8, -12, 8, 8, 8, -12, -12, 8, 8, 8, -12, -12, 8, 8, -12, 8, 8, -12, 8, -12, 8, 8, 8, 8, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -8, 12, 12, -8, -8, -8, 12, -8, 12, -8, -8, 12, -8, 12, 12, 12, -8, -8, -8, -8, -8, 12, 12, 12, -8, -8, 12, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 12, -8, -8, -8, -8, -8, 12, 12, 12, -8, -8, 12, -8, -8, -8, -8, 12, 12, -8, 12, -8, 12, -8, -8, 12, -8, -8, -8, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, 6, 6, -4, -4, -4, -4, -4, -4, 6, -4, -4, 6, -4, -4, 6, 6, -4, 6, -4, -4, 6, 6, -4, 6, -4, 6, -4, -4, 6, -4, -4, -4, 6, 6, -4, -4, 6, -4, -4, 6, -4, 6, 6, -4, -4, -4, -4, -4, -4, 6, 6, -4, 6, 6, -4, -4, 6, -4, 6, -4, -4, 6, -4, -4, 6, -4, -4, -4, 6, -4, -4, -4, -4, 6, -4, -4, -4, -4, 6, -4, 6, -4, 6, -4, -4, -4, -4, -4, 6, 6, -4, -4, -4, -4, 6, 6, 6, -4, -4, -4, -4, -4, 6, -4, -4, 6, -4, -4, -4, 6, -4, 6, 6, -4, -4, -4, -4, -4, -4, -4, 6, -4, -4, -4, -4, -4, -4, -4, -4, -4, 6, 6, -4, -4, -4, 6, -4, 6, 6, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -6, 4, -6, 4, 4, 4, 4, -6, -6, 4, 4, 4, 4, 4, -6, 4, 4, -6, -6, -6, -6, -6, 4, 4, -6, 4, 4, -6, 4, 4, 4, 4, -6, -6, 4, 4, 4, -6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -6, 4, 4, -6, 4, 4, 4, -6, -6, 4, -6, -6, -6, 4, 4, 4, 4, 4, 4, 4, -6, 4, 4, 4, 4, 4, 4, 4, -6, 4, -6, 4, 4, -6, -6, 4, -6, -6, 4, 4, -6, 4, 4, -6, 4, -6, 4, 4, -6, -6, -6, 4, -6, -6, -6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -6, 4, 4, 4, 4, 4, -6, 4, 4, 4, 4, 4, 4, -6, -6, -6, 4, -6, 4, -6, 4, 4, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• group 4200.o does not appear in gps_char
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 60300951
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': True, 'core_order': 4200, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 210, 'label': '4200.o.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4200.o', 'subgroup_hash': 3605652675087346187, 'subgroup_order': 4200, 'subgroup_tex': 'C_{35}:C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 60300962
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 2100, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4200.o.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2100.o', 'subgroup_hash': 1994011961018357, 'subgroup_order': 2100, 'subgroup_tex': 'C_5\\times C_{420}', 'supersolvable': True, 'sylow': 0}
  • id: 60300973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': True, 'centralizer_order': 60, 'characteristic': True, 'core_order': 1400, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 70, 'label': '4200.o.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1400.43', 'subgroup_hash': 43, 'subgroup_order': 1400, 'subgroup_tex': 'C_{35}:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 60300984
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 1050, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4200.o.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1050.40', 'subgroup_hash': 40, 'subgroup_order': 1050, 'subgroup_tex': 'C_5\\times C_{210}', 'supersolvable': True, 'sylow': 0}
  • id: 60300995
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': True, 'centralizer_order': 60, 'characteristic': True, 'core_order': 840, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '4200.o.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '840.7', 'subgroup_hash': 7, 'subgroup_order': 840, 'subgroup_tex': 'C_{105}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 60301006
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 420, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4200.o.5.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '840.5', 'subgroup_hash': 5, 'subgroup_order': 840, 'subgroup_tex': 'C_7:C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 60301017
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 700, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4200.o.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '700.17', 'subgroup_hash': 17, 'subgroup_order': 700, 'subgroup_tex': 'C_5\\times C_{140}', 'supersolvable': True, 'sylow': 0}
  • id: 60301028
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 300, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 30, 'label': '4200.o.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '600.48', 'subgroup_hash': 48, 'subgroup_order': 600, 'subgroup_tex': 'C_5:C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 60301038
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 525, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 105, 'label': '4200.o.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '525.6', 'subgroup_hash': 6, 'subgroup_order': 525, 'subgroup_tex': 'C_5\\times C_{105}', 'supersolvable': True, 'sylow': 0}
  • id: 60300952
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 420, 'counter': 10, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '420.12', 'subgroup_hash': 12, 'subgroup_order': 420, 'subgroup_tex': 'C_{420}', 'supersolvable': True, 'sylow': 0}
  • id: 60300953
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 420, 'counter': 11, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '420.12', 'subgroup_hash': 12, 'subgroup_order': 420, 'subgroup_tex': 'C_{420}', 'supersolvable': True, 'sylow': 0}
  • id: 60300954
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 84, 'counter': 12, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.10.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '420.12', 'subgroup_hash': 12, 'subgroup_order': 420, 'subgroup_tex': 'C_{420}', 'supersolvable': True, 'sylow': 0}
  • id: 60300955
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 84, 'counter': 13, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.10.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '420.12', 'subgroup_hash': 12, 'subgroup_order': 420, 'subgroup_tex': 'C_{420}', 'supersolvable': True, 'sylow': 0}
  • id: 60300956
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 350, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4200.o.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '350.10', 'subgroup_hash': 10, 'subgroup_order': 350, 'subgroup_tex': 'C_5\\times C_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 60300957
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 300, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4200.o.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '300.21', 'subgroup_hash': 21, 'subgroup_order': 300, 'subgroup_tex': 'C_5\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 60300958
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': True, 'centralizer_order': 60, 'characteristic': True, 'core_order': 280, 'counter': 16, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '4200.o.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '15.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 15, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '280.3', 'subgroup_hash': 3, 'subgroup_order': 280, 'subgroup_tex': 'C_{35}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 60300959
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 140, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4200.o.15.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '280.2', 'subgroup_hash': 2, 'subgroup_order': 280, 'subgroup_tex': 'C_7:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 60300960
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 210, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '210.12', 'subgroup_hash': 12, 'subgroup_order': 210, 'subgroup_tex': 'C_{210}', 'supersolvable': True, 'sylow': 0}
  • id: 60300961
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 210, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '210.12', 'subgroup_hash': 12, 'subgroup_order': 210, 'subgroup_tex': 'C_{210}', 'supersolvable': True, 'sylow': 0}
  • id: 60300963
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 42, 'counter': 20, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '210.12', 'subgroup_hash': 12, 'subgroup_order': 210, 'subgroup_tex': 'C_{210}', 'supersolvable': True, 'sylow': 0}
  • id: 60300964
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 42, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.20.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '210.12', 'subgroup_hash': 12, 'subgroup_order': 210, 'subgroup_tex': 'C_{210}', 'supersolvable': True, 'sylow': 0}
  • id: 60300965
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 100, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '4200.o.21.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.15', 'subgroup_hash': 15, 'subgroup_order': 200, 'subgroup_tex': 'C_5:C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 60300966
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 175, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 35, 'label': '4200.o.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '175.2', 'subgroup_hash': 2, 'subgroup_order': 175, 'subgroup_tex': 'C_5\\times C_{35}', 'supersolvable': True, 'sylow': 0}
  • id: 60300967
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 84, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 42, 'label': '4200.o.25.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.4', 'subgroup_hash': 4, 'subgroup_order': 168, 'subgroup_tex': 'C_7:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 60300968
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 150, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4200.o.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '150.13', 'subgroup_hash': 13, 'subgroup_order': 150, 'subgroup_tex': 'C_5\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 60300969
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 140, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '140.4', 'subgroup_hash': 4, 'subgroup_order': 140, 'subgroup_tex': 'C_{140}', 'supersolvable': True, 'sylow': 0}
  • id: 60300970
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 140, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '140.4', 'subgroup_hash': 4, 'subgroup_order': 140, 'subgroup_tex': 'C_{140}', 'supersolvable': True, 'sylow': 0}
  • id: 60300971
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 28, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.30.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '140.4', 'subgroup_hash': 4, 'subgroup_order': 140, 'subgroup_tex': 'C_{140}', 'supersolvable': True, 'sylow': 0}
  • id: 60300972
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 28, 'counter': 29, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.30.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '140.4', 'subgroup_hash': 4, 'subgroup_order': 140, 'subgroup_tex': 'C_{140}', 'supersolvable': True, 'sylow': 0}
  • id: 60300974
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 60, 'counter': 30, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.35.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '35.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.4', 'subgroup_hash': 4, 'subgroup_order': 120, 'subgroup_tex': 'C_{120}', 'supersolvable': True, 'sylow': 0}
  • id: 60300975
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 60, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4200.o.35.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.2', 'subgroup_hash': 2, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 60300976
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 105, 'counter': 32, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '105.2', 'subgroup_hash': 2, 'subgroup_order': 105, 'subgroup_tex': 'C_{105}', 'supersolvable': True, 'sylow': 0}
  • id: 60300977
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 105, 'counter': 33, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '105.2', 'subgroup_hash': 2, 'subgroup_order': 105, 'subgroup_tex': 'C_{105}', 'supersolvable': True, 'sylow': 0}
  • id: 60300978
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 21, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '105.2', 'subgroup_hash': 2, 'subgroup_order': 105, 'subgroup_tex': 'C_{105}', 'supersolvable': True, 'sylow': 0}
  • id: 60300979
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 21, 'counter': 35, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.40.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '105.2', 'subgroup_hash': 2, 'subgroup_order': 105, 'subgroup_tex': 'C_{105}', 'supersolvable': True, 'sylow': 0}
  • id: 60300980
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 100, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4200.o.42.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '42.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '42.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 42, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 60300981
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 84, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.50.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 60300982
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 75, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 15, 'label': '4200.o.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '75.3', 'subgroup_hash': 3, 'subgroup_order': 75, 'subgroup_tex': 'C_5\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 60300983
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 70, 'counter': 39, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 60300985
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 70, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 60300986
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 14, 'counter': 41, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.60.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 60300987
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 14, 'counter': 42, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.60.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 60300988
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 60, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.70.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '70.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '70.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 70, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{35}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 60300989
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 60, 'counter': 44, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.70.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '70.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '70.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 70, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 60300990
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 12, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.70.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 60300991
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 12, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.70.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 60300992
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 28, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '4200.o.75.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 60300993
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 50, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4200.o.84.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '84.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 60300994
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 42, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.100.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.6', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 60300996
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 20, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.105.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '105.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 60300997
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': False, 'core_order': 20, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4200.o.105.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.1', 'subgroup_hash': 1, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 60300998
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 35, 'counter': 52, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
  • id: 60300999
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 35, 'counter': 53, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.120.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{120}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
  • id: 60301000
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 7, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.120.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
  • id: 60301001
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 7, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.120.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
  • id: 60301002
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 30, 'counter': 56, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.140.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '140.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 60301003
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 30, 'counter': 57, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.140.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '140.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 60301004
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 6, 'counter': 58, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.140.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 60301005
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 6, 'counter': 59, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.140.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 60301007
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 28, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.150.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '150.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '150.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 150, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 60301008
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 25, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 5, 'label': '4200.o.168.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '168.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
  • id: 60301009
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 12, 'counter': 62, 'cyclic': True, 'direct': None, 'hall': 6, 'label': '4200.o.175.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '175.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 60301010
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 21, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 21, 'label': '4200.o.200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.15', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 60301011
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 20, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.210.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '210.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '210.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 210, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{35}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 60301012
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 20, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.210.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '210.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '210.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 210, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7\\times C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 60301013
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 4, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.210.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '210.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 60301014
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 4, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.210.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '210.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 60301015
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 15, 'counter': 68, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '4200.o.280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '280.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '280.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 280, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 60301016
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 15, 'counter': 69, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.280.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '280.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '280.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 280, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 60301018
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 3, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.280.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '280.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 60301019
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 3, 'counter': 71, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.280.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '280.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 60301020
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 14, 'counter': 72, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.300.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '300.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '300.16', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 300, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{60}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 60301021
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 12, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.350.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '350.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '350.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 350, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{35}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 60301022
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 10, 'counter': 74, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.420.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '420.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '420.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 420, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{105}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 60301023
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 10, 'counter': 75, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.420.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '420.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '420.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 420, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{60}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 60301024
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.420.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '420.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 60301025
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 2, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.420.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '420.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 60301026
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 4, 'counter': 78, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '4200.o.525.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '525.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 2}
  • id: 60301027
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 7, 'counter': 79, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '4200.o.600.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '600.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '600.48', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{120}', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 60301029
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 6, 'counter': 80, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.700.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '700.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '700.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 700, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60301030
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 5, 'counter': 81, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '4200.o.840.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '840.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '840.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 840, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{105}:C_8', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 60301031
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': True, 'core_order': 5, 'counter': 82, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.840.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '840.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '840.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 840, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{120}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 60301032
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 1, 'counter': 83, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.840.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '840.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 60301033
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': False, 'central_factor': False, 'centralizer_order': 2100, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4200.o.840.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '840.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 60301034
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 4, 'counter': 85, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.1050.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1050.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1050.31', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1050, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}\\times D_{35}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 60301035
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 3, 'counter': 86, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '4200.o.1400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1400.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1400.43', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_{40}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 60301036
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 2, 'counter': 87, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4200.o.2100.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2100.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2100.e', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2656758202557119134, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_{60}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 60301037
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4200.o', 'ambient_counter': 15, 'ambient_order': 4200, 'ambient_tex': 'C_{35}:C_{120}', 'central': True, 'central_factor': False, 'centralizer_order': 4200, 'characteristic': True, 'core_order': 1, 'counter': 88, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '4200.o.4200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4200.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '4200.o', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3605652675087346187, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 4200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_{120}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 60300951
    {'ambient': '4200.o', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '70.a1.a1', 'complements': ['4200.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '3.a1.a1', '5.a1.a1', '5.b1.a1', '7.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8577, 1675, 8286, 1044, 7614, 8045, 7478, 1835], 'generators': [15, 2520, 24, 30, 80, 600, 60], 'label': '4200.o.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '3.a1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '70.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
  • id: 60300952
    {'ambient': '4200.o', 'aut_centralizer_order': 280, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.220', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.b1.a1'], 'contains': ['20.a1.a1', '30.a1.a1', '50.a1.a1', '70.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6574, 241, 6814, 2710, 4970, 6002, 5458, 3026], 'generators': [30, 24, 600, 80, 60], 'label': '4200.o.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['20.a1.a1', '30.a1.a1', '50.a1.a1', '70.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '70.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300953
    {'ambient': '4200.o', 'aut_centralizer_order': 280, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.220', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.b1.a1', '30.b1.a1', '50.a1.a1', '70.b1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7387, 2416, 6405, 1627, 4583, 8828, 5108, 1269], 'generators': [30, 2520, 600, 80, 60], 'label': '4200.o.10.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.b1.a1', '30.b1.a1', '50.a1.a1', '70.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '350.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300954
    {'ambient': '4200.o', 'aut_centralizer_order': 70, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.220', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['20.c1.a1', '30.c1.a1', '50.a1.a1', '70.c1.a1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5101, -1, 5901, -1, 4195, -1, 4758, -1], 'generators': [30, 864, 600, 80, 60], 'label': '4200.o.10.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '10.c1.a1', 'projective_image': '350.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300955
    {'ambient': '4200.o', 'aut_centralizer_order': 70, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.220', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['20.c1.b1', '30.c1.b1', '50.a1.a1', '70.c1.b1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5101, -1, 5343, -1, 4195, -1, 4409, -1], 'generators': [30, 2544, 600, 80, 60], 'label': '4200.o.10.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '10.c1.b1', 'projective_image': '350.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300956
    {'ambient': '4200.o', 'aut_centralizer_order': 280, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.161', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '60.a1.a1', '60.b1.a1', '60.c1.a1', '60.c1.b1', '84.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3826, 5918, 4035, 6982, 3245, 4827, 3543, 5298], 'generators': [60, 2520, 600, 24], 'label': '4200.o.12.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '60.a1.a1', '60.b1.a1', '84.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '420.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300957
    {'ambient': '4200.o', 'aut_centralizer_order': 420, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.192', 'aut_weyl_index': 420, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '42.a1.a1', '70.a1.a1', '70.b1.a1', '70.c1.a1', '70.c1.b1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6387, 3529, 7359, 3616, 6180, 6850, 6551, 3872], 'generators': [30, 24, 2520, 80, 60], 'label': '4200.o.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1', '42.a1.a1', '70.a1.a1', '70.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '70.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300958
    {'ambient': '4200.o', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '70.a1.a1', 'complements': ['280.a1.a1', '280.c1.b1', '280.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.b1.a1', '75.a1.a1', '105.b1.a1'], 'core': '15.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9679, 1279, 8609, 833, 7410, 9533, 7661, 566], 'generators': [15, 60, 2520, 30, 600], 'label': '4200.o.15.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '15.a1.a1', 'normal_contained_in': ['3.a1.a1', '5.a1.a1'], 'normal_contains': ['30.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '1050.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
  • id: 60300959
    {'ambient': '4200.o', 'aut_centralizer_order': 8, 'aut_label': '15.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '672.1090', 'aut_weyl_index': 40, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.b1.a1'], 'contains': ['30.a1.a1', '75.a1.a1', '105.a1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8389, -1, 9110, -1, 8648, -1, 8177, -1], 'generators': [15, 30, 60, 24, 600], 'label': '4200.o.15.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1.a1', 'old_label': '15.b1.a1', 'projective_image': '210.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.b1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 60300960
    {'ambient': '4200.o', 'aut_centralizer_order': 560, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '60.a1.a1', '100.a1.a1', '140.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3289, 4295, 4900, 5867, 2726, 2914, 3074, 6144], 'generators': [60, 24, 600, 80], 'label': '4200.o.20.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '60.a1.a1', '100.a1.a1', '140.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300961
    {'ambient': '4200.o', 'aut_centralizer_order': 560, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.b1.a1'], 'contains': ['40.b1.a1', '60.b1.a1', '100.a1.a1', '140.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4309, 5115, 3755, 4747, 2338, 5675, 2724, 4452], 'generators': [60, 2520, 600, 80], 'label': '4200.o.20.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.a1.a1', '10.b1.a1'], 'normal_contains': ['40.b1.a1', '60.b1.a1', '100.a1.a1', '140.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '700.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300962
    {'ambient': '4200.o', 'aut_centralizer_order': 70, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.19878', 'aut_weyl_index': 70, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '6.a1.a1', '10.a1.a1', '10.b1.a1', '10.c1.a1', '10.c1.b1', '14.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6513, 2556, 6132, 2527, 4970, 6850, 5285, 3026], 'generators': [30, 60, 24, 2520, 80, 600], 'label': '4200.o.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.a1.a1', '10.a1.a1', '10.b1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '70.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300963
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.c1.a1'], 'contains': ['40.c1.a1', '60.c1.a1', '100.a1.a1', '140.c1.a1'], 'core': '100.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2505, -1, 2616, -1, 1951, -1, 2375, -1], 'generators': [60, 864, 600, 80], 'label': '4200.o.20.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '700.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300964
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.c1.b1'], 'contains': ['40.c1.b1', '60.c1.b1', '100.a1.a1', '140.c1.b1'], 'core': '100.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2505, -1, 3219, -1, 1951, -1, 2025, -1], 'generators': [60, 2544, 600, 80], 'label': '4200.o.20.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '20.c1.b1', 'projective_image': '700.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300965
    {'ambient': '4200.o', 'aut_centralizer_order': 12, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '320.1590', 'aut_weyl_index': 84, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '7.a1.a1'], 'contains': ['42.a1.a1', '105.a1.a1', '105.b1.a1'], 'core': '42.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8792, -1, 9904, -1, 9702, -1, 9731, -1], 'generators': [15, 30, 60, 24, 2520], 'label': '4200.o.21.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '21.a1.a1', 'projective_image': '210.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 60300966
    {'ambient': '4200.o', 'aut_centralizer_order': 280, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.161', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': ['175.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1'], 'contains': ['120.a1.a1', '120.b1.a1', '120.c1.a1', '120.c1.b1', '168.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1374, 9067, 1050, 8045, 1452, 2170, 1661, 7836], 'generators': [24, 600, 2520], 'label': '4200.o.24.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['120.a1.a1', '120.b1.a1', '168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '840.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300967
    {'ambient': '4200.o', 'aut_centralizer_order': 16, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '336.216', 'aut_weyl_index': 80, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '5.b1.a1'], 'contains': ['50.a1.a1', '75.a1.a1', '175.a1.a1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9194, -1, 8357, -1, 6839, -1, 7146, -1], 'generators': [15, 30, 60, 80, 600], 'label': '4200.o.25.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1.a1', 'old_label': '25.a1.a1', 'projective_image': '350.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.a1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 60300968
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '28.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.21', 'aut_weyl_index': 840, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1'], 'contains': ['56.a1.a1', '84.a1.a1', '140.a1.a1', '140.b1.a1', '140.c1.a1', '140.c1.b1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4542, 6398, 4450, 6787, 3896, 3763, 4131, 6990], 'generators': [60, 24, 2520, 80], 'label': '4200.o.28.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '84.a1.a1', '140.a1.a1', '140.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301018
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '280.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.c1.a1', '56.a1.a1', '140.c1.a1'], 'contains': ['840.c1.a1', '1400.a1.a1'], 'core': '1400.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1229, -1, 794, -1, 2127, -1, 1978, -1], 'generators': [80, 864], 'label': '4200.o.280.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '280.c1.a1', 'projective_image': '1400.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300969
    {'ambient': '4200.o', 'aut_centralizer_order': 560, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.b1.a1'], 'contains': ['60.a1.a1', '150.a1.a1', '210.a1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7107, 885, 6732, 2169, 6252, 6890, 6608, 2180], 'generators': [30, 600, 60, 24], 'label': '4200.o.30.a1.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.a1.a1'], 'normal_contains': ['60.a1.a1', '150.a1.a1', '210.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '210.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300970
    {'ambient': '4200.o', 'aut_centralizer_order': 560, 'aut_label': '30.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.b1.a1', '150.a1.a1', '210.b1.a1'], 'core': '30.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7588, 2003, 7738, 1248, 5509, 9742, 6259, 397], 'generators': [30, 600, 60, 2520], 'label': '4200.o.30.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.b1.a1', 'normal_contained_in': ['6.a1.a1', '10.b1.a1', '15.a1.a1'], 'normal_contains': ['60.b1.a1', '150.a1.a1', '210.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '1050.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300971
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.c1.a1'], 'contains': ['60.c1.a1', '150.a1.a1', '210.c1.a1'], 'core': '150.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5408, -1, 6356, -1, 4415, -1, 5588, -1], 'generators': [30, 600, 60, 864], 'label': '4200.o.30.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.c1.a1', 'projective_image': '1050.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300972
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.c1.b1'], 'contains': ['60.c1.b1', '150.a1.a1', '210.c1.b1'], 'core': '150.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5408, -1, 5363, -1, 4415, -1, 4600, -1], 'generators': [30, 600, 60, 2544], 'label': '4200.o.30.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.c1.b1', 'projective_image': '1050.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300973
    {'ambient': '4200.o', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '70.a1.a1', 'complements': ['1400.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '15.a1.a1', '15.b1.a1', '21.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9120, 1675, 9231, 1044, 8389, 8045, 8177, 1835], 'generators': [15, 600, 30, 60, 24, 2520], 'label': '4200.o.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '15.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '210.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
  • id: 60300974
    {'ambient': '4200.o', 'aut_centralizer_order': 24, 'aut_label': '35.a1', 'aut_quo_index': None, 'aut_stab_index': 35, 'aut_weyl_group': '32.45', 'aut_weyl_index': 840, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.b1.a1', '7.a1.a1'], 'contains': ['70.a1.a1', '105.a1.a1', '175.a1.a1'], 'core': '70.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [8270, -1, 9016, -1, 9175, -1, 9255, -1], 'generators': [15, 24, 30, 80, 60], 'label': '4200.o.35.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '35.a1.a1', 'projective_image': '70.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300975
    {'ambient': '4200.o', 'aut_centralizer_order': 24, 'aut_label': '35.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '160.236', 'aut_weyl_index': 168, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '7.a1.a1'], 'contains': ['70.b1.a1', '105.b1.a1', '175.a1.a1'], 'core': '70.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9876, -1, 9591, -1, 7981, -1, 8779, -1], 'generators': [15, 30, 60, 80, 2520], 'label': '4200.o.35.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '35.b1.a1', 'projective_image': '350.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 60300976
    {'ambient': '4200.o', 'aut_centralizer_order': 560, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': ['105.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1'], 'contains': ['120.a1.a1', '200.a1.a1', '280.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [678, 7376, 2735, 9550, 933, 258, 1192, 8682], 'generators': [80, 600, 24], 'label': '4200.o.40.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1'], 'normal_contains': ['120.a1.a1', '200.a1.a1', '280.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '280.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300977
    {'ambient': '4200.o', 'aut_centralizer_order': 560, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': ['105.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.b1.a1'], 'contains': ['120.b1.a1', '200.a1.a1', '280.b1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2063, 9529, 1076, 7130, 158, 3019, 842, 6990], 'generators': [80, 600, 2520], 'label': '4200.o.40.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.a1.a1', '20.b1.a1'], 'normal_contains': ['120.b1.a1', '200.a1.a1', '280.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '1400.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300978
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.c1.a1'], 'contains': ['120.c1.a1', '200.a1.a1', '280.c1.a1'], 'core': '200.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [198, -1, 202, -1, 545, -1, 492, -1], 'generators': [80, 600, 864], 'label': '4200.o.40.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.c1.a1', 'projective_image': '1400.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300979
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.c1.b1'], 'contains': ['120.c1.b1', '200.a1.a1', '280.c1.b1'], 'core': '200.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [198, -1, 1834, -1, 545, -1, 142, -1], 'generators': [80, 600, 2544], 'label': '4200.o.40.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.c1.b1', 'projective_image': '1400.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300980
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '42.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.21', 'aut_weyl_index': 840, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '14.a1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '210.a1.a1', '210.b1.a1', '210.c1.a1', '210.c1.b1'], 'core': '42.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6598, 3554, 8191, 3467, 7127, 7738, 7715, 3026], 'generators': [30, 2520, 60, 24], 'label': '4200.o.42.a1.a1', 'mobius_quo': 0, 'mobius_sub': -7, 'normal_closure': '42.a1.a1', 'normal_contained_in': ['6.a1.a1', '14.a1.a1'], 'normal_contains': ['84.a1.a1', '210.a1.a1', '210.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '42.a1.a1', 'projective_image': '210.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '42.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300981
    {'ambient': '4200.o', 'aut_centralizer_order': 1120, 'aut_label': '50.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '10.b1.a1', '10.c1.a1', '10.c1.b1', '25.a1.a1'], 'contains': ['100.a1.a1', '150.a1.a1', '350.a1.a1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5927, 1146, 5938, 1907, 5138, 8560, 5252, 1002], 'generators': [30, 600, 60, 80], 'label': '4200.o.50.a1.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.a1.a1', 'normal_contained_in': ['10.a1.a1', '10.b1.a1'], 'normal_contains': ['100.a1.a1', '150.a1.a1', '350.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '50.a1.a1', 'projective_image': '350.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300982
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '56.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.21', 'aut_weyl_index': 840, 'centralizer': '2.a1.a1', 'complements': ['75.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1'], 'contains': ['168.a1.a1', '280.a1.a1', '280.b1.a1', '280.c1.a1', '280.c1.b1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1706, 8453, 1496, 8593, 2103, 1106, 2248, 9528], 'generators': [80, 2520, 24], 'label': '4200.o.56.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1'], 'normal_contains': ['168.a1.a1', '280.a1.a1', '280.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '280.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.2', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300983
    {'ambient': '4200.o', 'aut_centralizer_order': 1120, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '300.a1.a1', '420.a1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3585, 4319, 4981, 5897, 4363, 4200, 4607, 4745], 'generators': [60, 600, 24], 'label': '4200.o.60.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1', '300.a1.a1', '420.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '420.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300984
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1400', 'aut_weyl_index': 140, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.a1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1', '20.c1.b1', '28.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3826, 5426, 4185, 6230, 2726, 4298, 2901, 5721], 'generators': [60, 24, 2520, 80, 600], 'label': '4200.o.4.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '20.a1.a1', '20.b1.a1', '28.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300985
    {'ambient': '4200.o', 'aut_centralizer_order': 1120, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.b1.a1', '30.b1.a1'], 'contains': ['120.b1.a1', '300.a1.a1', '420.b1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4249, 5401, 4027, 5202, 3309, 6994, 4290, 3026], 'generators': [60, 600, 2520], 'label': '4200.o.60.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '60.b1.a1', 'normal_contained_in': ['12.a1.a1', '20.b1.a1', '30.b1.a1'], 'normal_contains': ['120.b1.a1', '300.a1.a1', '420.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.a1', 'projective_image': '2100.e', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300986
    {'ambient': '4200.o', 'aut_centralizer_order': 280, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.c1.a1', '30.c1.a1'], 'contains': ['120.c1.a1', '300.a1.a1', '420.c1.a1'], 'core': '300.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2593, -1, 2232, -1, 2957, -1, 3655, -1], 'generators': [60, 600, 864], 'label': '4200.o.60.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '60.c1.a1', 'projective_image': '2100.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300987
    {'ambient': '4200.o', 'aut_centralizer_order': 280, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.c1.b1', '30.c1.b1'], 'contains': ['120.c1.b1', '300.a1.a1', '420.c1.b1'], 'core': '300.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2593, -1, 2975, -1, 2957, -1, 3020, -1], 'generators': [60, 600, 2544], 'label': '4200.o.60.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '60.c1.b1', 'projective_image': '2100.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300988
    {'ambient': '4200.o', 'aut_centralizer_order': 1680, 'aut_label': '70.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1680, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '14.a1.a1', '35.a1.a1'], 'contains': ['140.a1.a1', '210.a1.a1', '350.a1.a1'], 'core': '70.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7340, 525, 7303, 3534, 6623, 6283, 7261, 3846], 'generators': [30, 24, 60, 80], 'label': '4200.o.70.a1.a1', 'mobius_quo': 0, 'mobius_sub': -35, 'normal_closure': '70.a1.a1', 'normal_contained_in': ['10.a1.a1', '14.a1.a1'], 'normal_contains': ['140.a1.a1', '210.a1.a1', '350.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '70.a1.a1', 'projective_image': '70.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '70.3', 'quotient_action_kernel_order': 70, 'quotient_fusion': None, 'short_label': '70.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300989
    {'ambient': '4200.o', 'aut_centralizer_order': 1680, 'aut_label': '70.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.b1.a1', '14.a1.a1', '35.b1.a1'], 'contains': ['140.b1.a1', '210.b1.a1', '350.a1.a1'], 'core': '70.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7895, 3297, 7793, 2379, 5880, 9135, 6944, 1575], 'generators': [30, 2520, 60, 80], 'label': '4200.o.70.b1.a1', 'mobius_quo': 0, 'mobius_sub': -7, 'normal_closure': '70.b1.a1', 'normal_contained_in': ['10.b1.a1', '14.a1.a1'], 'normal_contains': ['140.b1.a1', '210.b1.a1', '350.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '70.b1.a1', 'projective_image': '350.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '35.1', 'quotient_action_kernel_order': 35, 'quotient_fusion': None, 'short_label': '70.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300990
    {'ambient': '4200.o', 'aut_centralizer_order': 420, 'aut_label': '70.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.c1.a1', '14.a1.a1'], 'contains': ['140.c1.a1', '210.c1.a1', '350.a1.a1'], 'core': '350.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5570, -1, 6533, -1, 4786, -1, 5923, -1], 'generators': [30, 864, 60, 80], 'label': '4200.o.70.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '70.c1.a1', 'projective_image': '350.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300991
    {'ambient': '4200.o', 'aut_centralizer_order': 420, 'aut_label': '70.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.c1.b1', '14.a1.a1'], 'contains': ['140.c1.b1', '210.c1.b1', '350.a1.a1'], 'core': '350.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5570, -1, 6917, -1, 4786, -1, 4935, -1], 'generators': [30, 2544, 60, 80], 'label': '4200.o.70.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '70.c1.b1', 'projective_image': '350.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300992
    {'ambient': '4200.o', 'aut_centralizer_order': 32, 'aut_label': '75.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '168.47', 'aut_weyl_index': 160, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15.a1.a1', '15.b1.a1', '25.a1.a1'], 'contains': ['150.a1.a1', '525.a1.a1'], 'core': '150.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8980, -1, 8717, -1, 7638, -1, 8177, -1], 'generators': [15, 60, 600, 30], 'label': '4200.o.75.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '15.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1.a1', 'old_label': '75.a1.a1', 'projective_image': '1050.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75.a1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 60300993
    {'ambient': '4200.o', 'aut_centralizer_order': 1680, 'aut_label': '84.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.2', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '28.a1.a1', '42.a1.a1'], 'contains': ['168.a1.a1', '420.a1.a1', '420.b1.a1', '420.c1.a1', '420.c1.b1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4854, 6532, 4822, 6782, 5218, 5023, 5696, 5565], 'generators': [60, 2520, 24], 'label': '4200.o.84.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '84.a1.a1', 'normal_contained_in': ['12.a1.a1', '28.a1.a1', '42.a1.a1'], 'normal_contains': ['168.a1.a1', '420.a1.a1', '420.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '84.a1.a1', 'projective_image': '420.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '42.6', 'quotient_action_kernel_order': 42, 'quotient_fusion': None, 'short_label': '84.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300994
    {'ambient': '4200.o', 'aut_centralizer_order': 2240, 'aut_label': '100.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 2240, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '20.c1.b1', '50.a1.a1'], 'contains': ['200.a1.a1', '300.a1.a1', '700.a1.a1'], 'core': '100.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3468, 4088, 3698, 4674, 2606, 5845, 2703, 3599], 'generators': [60, 600, 80], 'label': '4200.o.100.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '100.a1.a1', 'normal_contained_in': ['20.a1.a1', '20.b1.a1', '50.a1.a1'], 'normal_contains': ['200.a1.a1', '300.a1.a1', '700.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '100.a1.a1', 'projective_image': '700.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300995
    {'ambient': '4200.o', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '70.a1.a1', 'complements': ['840.a1.a1', '840.c1.b1', '840.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.b1.a1', '15.a1.a1', '25.a1.a1', '35.b1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9799, 945, 8288, 450, 6839, 9311, 6778, 573], 'generators': [15, 600, 30, 60, 80, 2520], 'label': '4200.o.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.b1.a1', '15.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '350.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
  • id: 60300996
    {'ambient': '4200.o', 'aut_centralizer_order': 48, 'aut_label': '105.a1', 'aut_quo_index': None, 'aut_stab_index': 35, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1680, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15.b1.a1', '21.a1.a1', '35.a1.a1'], 'contains': ['210.a1.a1', '525.a1.a1'], 'core': '210.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [8209, -1, 9243, -1, 8716, -1, 9151, -1], 'generators': [15, 30, 60, 24], 'label': '4200.o.105.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '105.a1.a1', 'projective_image': '210.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60300997
    {'ambient': '4200.o', 'aut_centralizer_order': 48, 'aut_label': '105.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '80.50', 'aut_weyl_index': 336, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15.a1.a1', '21.a1.a1', '35.b1.a1'], 'contains': ['210.b1.a1', '525.a1.a1'], 'core': '210.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9802, -1, 9663, -1, 8356, -1, 8826, -1], 'generators': [15, 60, 2520, 30], 'label': '4200.o.105.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '15.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '105.b1.a1', 'projective_image': '1050.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 60300998
    {'ambient': '4200.o', 'aut_centralizer_order': 1120, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': ['35.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1'], 'contains': ['600.a1.a1', '840.a1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [918, 7146, 2652, 9176, 2478, 1968, 2613, 7504], 'generators': [24, 600], 'label': '4200.o.120.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1'], 'normal_contains': ['600.a1.a1', '840.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '840.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60300999
    {'ambient': '4200.o', 'aut_centralizer_order': 1120, 'aut_label': '120.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': ['35.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.b1.a1', '60.b1.a1'], 'contains': ['600.a1.a1', '840.b1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1992, 9608, 797, 7104, 1072, 4226, 2295, 5786], 'generators': [2520, 600], 'label': '4200.o.120.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '120.b1.a1', 'normal_contained_in': ['24.a1.a1', '40.b1.a1', '60.b1.a1'], 'normal_contains': ['600.a1.a1', '840.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.a1', 'projective_image': '4200.o', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301000
    {'ambient': '4200.o', 'aut_centralizer_order': 280, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.c1.a1', '60.c1.a1'], 'contains': ['600.a1.a1', '840.c1.a1'], 'core': '600.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [124, -1, 96, -1, 1424, -1, 1661, -1], 'generators': [864, 600], 'label': '4200.o.120.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.c1.a1', 'projective_image': '4200.o', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301001
    {'ambient': '4200.o', 'aut_centralizer_order': 280, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.c1.b1', '60.c1.b1'], 'contains': ['600.a1.a1', '840.c1.b1'], 'core': '600.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [124, -1, 1881, -1, 1424, -1, 1026, -1], 'generators': [2544, 600], 'label': '4200.o.120.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.c1.b1', 'projective_image': '4200.o', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301002
    {'ambient': '4200.o', 'aut_centralizer_order': 3360, 'aut_label': '140.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '28.a1.a1', '70.a1.a1'], 'contains': ['280.a1.a1', '420.a1.a1', '700.a1.a1'], 'core': '140.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4482, 2915, 5539, 6101, 4714, 3626, 5242, 6385], 'generators': [60, 24, 80], 'label': '4200.o.140.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '140.a1.a1', 'normal_contained_in': ['20.a1.a1', '28.a1.a1', '70.a1.a1'], 'normal_contains': ['280.a1.a1', '420.a1.a1', '700.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '140.a1.a1', 'projective_image': '140.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '140.3', 'quotient_action_kernel_order': 140, 'quotient_fusion': None, 'short_label': '140.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301003
    {'ambient': '4200.o', 'aut_centralizer_order': 3360, 'aut_label': '140.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '28.a1.a1', '70.b1.a1'], 'contains': ['280.b1.a1', '420.b1.a1', '700.a1.a1'], 'core': '140.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5327, 5876, 4209, 4031, 4011, 6420, 4924, 4172], 'generators': [60, 2520, 80], 'label': '4200.o.140.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '140.b1.a1', 'normal_contained_in': ['20.b1.a1', '28.a1.a1', '70.b1.a1'], 'normal_contains': ['280.b1.a1', '420.b1.a1', '700.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '140.b1.a1', 'projective_image': '700.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '70.4', 'quotient_action_kernel_order': 70, 'quotient_fusion': None, 'short_label': '140.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301004
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '140.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.c1.a1', '28.a1.a1', '70.c1.a1'], 'contains': ['280.c1.a1', '420.c1.a1', '700.a1.a1'], 'core': '700.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3020, -1, 3861, -1, 3660, -1, 3972, -1], 'generators': [60, 864, 80], 'label': '4200.o.140.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.c1.a1', 'projective_image': '700.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301005
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '140.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.c1.b1', '28.a1.a1', '70.c1.b1'], 'contains': ['280.c1.b1', '420.c1.b1', '700.a1.a1'], 'core': '700.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3020, -1, 4928, -1, 3660, -1, 3337, -1], 'generators': [60, 2544, 80], 'label': '4200.o.140.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.c1.b1', 'projective_image': '700.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301006
    {'ambient': '4200.o', 'aut_centralizer_order': 4, 'aut_label': '5.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '1344.11431', 'aut_weyl_index': 20, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '15.b1.a1', '25.a1.a1', '35.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8166, -1, 8825, -1, 7614, -1, 7478, -1], 'generators': [15, 600, 24, 30, 80, 60], 'label': '4200.o.5.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1.a1', 'old_label': '5.b1.a1', 'projective_image': '70.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.b1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 60301007
    {'ambient': '4200.o', 'aut_centralizer_order': 2240, 'aut_label': '150.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 2240, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['30.a1.a1', '30.b1.a1', '30.c1.a1', '30.c1.b1', '50.a1.a1', '75.a1.a1'], 'contains': ['300.a1.a1', '1050.a1.a1'], 'core': '150.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6422, 1687, 6311, 1586, 6072, 8717, 6468, 735], 'generators': [30, 60, 600], 'label': '4200.o.150.a1.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '150.a1.a1', 'normal_contained_in': ['30.a1.a1', '30.b1.a1', '50.a1.a1'], 'normal_contains': ['300.a1.a1', '1050.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '150.a1.a1', 'projective_image': '1050.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '75.3', 'quotient_action_kernel_order': 75, 'quotient_fusion': None, 'short_label': '150.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301008
    {'ambient': '4200.o', 'aut_centralizer_order': 1680, 'aut_label': '168.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.2', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': ['25.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1'], 'contains': ['840.a1.a1', '840.b1.a1', '840.c1.a1', '840.c1.b1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2618, 8861, 1590, 8271, 3169, 2523, 3554, 8057], 'generators': [24, 2520], 'label': '4200.o.168.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '168.a1.a1', 'normal_contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1'], 'normal_contains': ['840.a1.a1', '840.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '168.a1.a1', 'projective_image': '840.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.6', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301009
    {'ambient': '4200.o', 'aut_centralizer_order': 96, 'aut_label': '175.a1', 'aut_quo_index': None, 'aut_stab_index': 35, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3360, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['25.a1.a1', '35.a1.a1', '35.b1.a1'], 'contains': ['350.a1.a1', '525.a1.a1'], 'core': '350.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [8824, -1, 8997, -1, 7997, -1, 8502, -1], 'generators': [15, 80, 30, 60], 'label': '4200.o.175.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '175.a1.a1', 'projective_image': '350.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301010
    {'ambient': '4200.o', 'aut_centralizer_order': 2240, 'aut_label': '200.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 2240, 'centralizer': '2.a1.a1', 'complements': ['21.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '40.b1.a1', '40.c1.a1', '40.c1.b1', '100.a1.a1'], 'contains': ['600.a1.a1', '1400.a1.a1'], 'core': '200.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [469, 8496, 899, 7948, 721, 3078, 709, 6358], 'generators': [80, 600], 'label': '4200.o.200.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '200.a1.a1', 'normal_contained_in': ['40.a1.a1', '40.b1.a1', '100.a1.a1'], 'normal_contains': ['600.a1.a1', '1400.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '200.a1.a1', 'projective_image': '1400.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.8', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301011
    {'ambient': '4200.o', 'aut_centralizer_order': 3360, 'aut_label': '210.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['30.a1.a1', '42.a1.a1', '70.a1.a1', '105.a1.a1'], 'contains': ['420.a1.a1', '1050.a1.a1'], 'core': '210.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7256, 836, 7724, 3222, 7127, 7568, 7737, 2454], 'generators': [30, 60, 24], 'label': '4200.o.210.a1.a1', 'mobius_quo': 0, 'mobius_sub': 35, 'normal_closure': '210.a1.a1', 'normal_contained_in': ['30.a1.a1', '42.a1.a1', '70.a1.a1'], 'normal_contains': ['420.a1.a1', '1050.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '210.a1.a1', 'projective_image': '210.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '210.7', 'quotient_action_kernel_order': 210, 'quotient_fusion': None, 'short_label': '210.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301012
    {'ambient': '4200.o', 'aut_centralizer_order': 3360, 'aut_label': '210.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['30.b1.a1', '42.a1.a1', '70.b1.a1', '105.b1.a1'], 'contains': ['420.b1.a1', '1050.a1.a1'], 'core': '210.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8054, 3608, 8213, 2577, 6775, 9292, 7420, 1308], 'generators': [30, 60, 2520], 'label': '4200.o.210.b1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '210.b1.a1', 'normal_contained_in': ['30.b1.a1', '42.a1.a1', '70.b1.a1'], 'normal_contains': ['420.b1.a1', '1050.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '210.b1.a1', 'projective_image': '1050.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '105.2', 'quotient_action_kernel_order': 105, 'quotient_fusion': None, 'short_label': '210.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301013
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '210.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['30.c1.a1', '42.a1.a1', '70.c1.a1'], 'contains': ['420.c1.a1', '1050.a1.a1'], 'core': '1050.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5839, -1, 6206, -1, 5721, -1, 7102, -1], 'generators': [30, 60, 864], 'label': '4200.o.210.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '42.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '210.c1.a1', 'projective_image': '1050.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301014
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '210.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['30.c1.b1', '42.a1.a1', '70.c1.b1'], 'contains': ['420.c1.b1', '1050.a1.a1'], 'core': '1050.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5839, -1, 6794, -1, 5721, -1, 6150, -1], 'generators': [30, 60, 2544], 'label': '4200.o.210.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '42.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '210.c1.b1', 'projective_image': '1050.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301015
    {'ambient': '4200.o', 'aut_centralizer_order': 3360, 'aut_label': '280.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '1.a1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '56.a1.a1', '140.a1.a1'], 'contains': ['840.a1.a1', '1400.a1.a1'], 'core': '280.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1678, 7650, 2896, 9242, 2829, 1394, 3247, 8611], 'generators': [80, 24], 'label': '4200.o.280.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '280.a1.a1', 'normal_contained_in': ['40.a1.a1', '56.a1.a1', '140.a1.a1'], 'normal_contains': ['840.a1.a1', '1400.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '280.a1.a1', 'projective_image': '280.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '280.3', 'quotient_action_kernel_order': 280, 'quotient_fusion': None, 'short_label': '280.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301016
    {'ambient': '4200.o', 'aut_centralizer_order': 3360, 'aut_label': '280.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': ['15.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['40.b1.a1', '56.a1.a1', '140.b1.a1'], 'contains': ['840.b1.a1', '1400.a1.a1'], 'core': '280.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2169, 9608, 1775, 7560, 1775, 3652, 2930, 6932], 'generators': [80, 2520], 'label': '4200.o.280.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '280.b1.a1', 'normal_contained_in': ['40.b1.a1', '56.a1.a1', '140.b1.a1'], 'normal_contains': ['840.b1.a1', '1400.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '280.b1.a1', 'projective_image': '1400.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '140.4', 'quotient_action_kernel_order': 140, 'quotient_fusion': None, 'short_label': '280.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301017
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1400', 'aut_weyl_index': 140, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '30.a1.a1', '30.b1.a1', '30.c1.a1', '30.c1.b1', '42.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6884, 2046, 6400, 2169, 5509, 7947, 5945, 2148], 'generators': [30, 2520, 600, 24, 60], 'label': '4200.o.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '30.a1.a1', '30.b1.a1', '42.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '210.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301019
    {'ambient': '4200.o', 'aut_centralizer_order': 840, 'aut_label': '280.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.c1.b1', '56.a1.a1', '140.c1.b1'], 'contains': ['840.c1.b1', '1400.a1.a1'], 'core': '1400.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1229, -1, 2370, -1, 2127, -1, 1343, -1], 'generators': [80, 2544], 'label': '4200.o.280.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '280.c1.b1', 'projective_image': '1400.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301020
    {'ambient': '4200.o', 'aut_centralizer_order': 4480, 'aut_label': '300.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4480, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['60.a1.a1', '60.b1.a1', '60.c1.a1', '60.c1.b1', '100.a1.a1', '150.a1.a1'], 'contains': ['600.a1.a1', '2100.a1.a1'], 'core': '300.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3826, 4618, 3474, 5002, 3508, 5845, 3860, 3599], 'generators': [60, 600], 'label': '4200.o.300.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '300.a1.a1', 'normal_contained_in': ['60.a1.a1', '60.b1.a1', '100.a1.a1', '150.a1.a1'], 'normal_contains': ['600.a1.a1', '2100.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '300.a1.a1', 'projective_image': '2100.e', 'quotient_action_image': '2.1', 'quotient_action_kernel': '150.13', 'quotient_action_kernel_order': 150, 'quotient_fusion': None, 'short_label': '300.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301021
    {'ambient': '4200.o', 'aut_centralizer_order': 6720, 'aut_label': '350.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6720, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['50.a1.a1', '70.a1.a1', '70.b1.a1', '70.c1.a1', '70.c1.b1', '175.a1.a1'], 'contains': ['700.a1.a1', '1050.a1.a1'], 'core': '350.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6644, 2069, 7094, 2675, 6424, 8143, 6785, 1881], 'generators': [30, 80, 60], 'label': '4200.o.350.a1.a1', 'mobius_quo': 0, 'mobius_sub': 35, 'normal_closure': '350.a1.a1', 'normal_contained_in': ['50.a1.a1', '70.a1.a1', '70.b1.a1'], 'normal_contains': ['700.a1.a1', '1050.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '350.a1.a1', 'projective_image': '350.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '350.7', 'quotient_action_kernel_order': 350, 'quotient_fusion': None, 'short_label': '350.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301022
    {'ambient': '4200.o', 'aut_centralizer_order': 6720, 'aut_label': '420.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 6720, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['60.a1.a1', '84.a1.a1', '140.a1.a1', '210.a1.a1'], 'contains': ['840.a1.a1', '2100.a1.a1'], 'core': '420.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4765, 2952, 5508, 6332, 4850, 4801, 5389, 5213], 'generators': [60, 24], 'label': '4200.o.420.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '420.a1.a1', 'normal_contained_in': ['60.a1.a1', '84.a1.a1', '140.a1.a1', '210.a1.a1'], 'normal_contains': ['840.a1.a1', '2100.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '420.a1.a1', 'projective_image': '420.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '420.7', 'quotient_action_kernel_order': 420, 'quotient_fusion': None, 'short_label': '420.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301023
    {'ambient': '4200.o', 'aut_centralizer_order': 6720, 'aut_label': '420.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['60.b1.a1', '84.a1.a1', '140.b1.a1', '210.b1.a1'], 'contains': ['840.b1.a1', '2100.a1.a1'], 'core': '420.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5436, 4841, 4646, 5652, 4499, 6420, 5072, 4172], 'generators': [60, 2520], 'label': '4200.o.420.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '420.b1.a1', 'normal_contained_in': ['60.b1.a1', '84.a1.a1', '140.b1.a1', '210.b1.a1'], 'normal_contains': ['840.b1.a1', '2100.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '420.b1.a1', 'projective_image': '2100.e', 'quotient_action_image': '2.1', 'quotient_action_kernel': '210.12', 'quotient_action_kernel_order': 210, 'quotient_fusion': None, 'short_label': '420.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301024
    {'ambient': '4200.o', 'aut_centralizer_order': 1680, 'aut_label': '420.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['60.c1.a1', '84.a1.a1', '140.c1.a1', '210.c1.a1'], 'contains': ['840.c1.a1', '2100.a1.a1'], 'core': '2100.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3235, -1, 4121, -1, 4147, -1, 4755, -1], 'generators': [60, 864], 'label': '4200.o.420.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '84.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '420.c1.a1', 'projective_image': '2100.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301025
    {'ambient': '4200.o', 'aut_centralizer_order': 1680, 'aut_label': '420.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['60.c1.b1', '84.a1.a1', '140.c1.b1', '210.c1.b1'], 'contains': ['840.c1.b1', '2100.a1.a1'], 'core': '2100.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3235, -1, 5102, -1, 4147, -1, 4437, -1], 'generators': [60, 2544], 'label': '4200.o.420.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '84.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '420.c1.b1', 'projective_image': '2100.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301026
    {'ambient': '4200.o', 'aut_centralizer_order': 192, 'aut_label': '525.a1', 'aut_quo_index': None, 'aut_stab_index': 35, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6720, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['75.a1.a1', '105.a1.a1', '105.b1.a1', '175.a1.a1'], 'contains': ['1050.a1.a1'], 'core': '1050.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [8824, -1, 8997, -1, 7997, -1, 8502, -1], 'generators': [15], 'label': '4200.o.525.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '15.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '525.a1.a1', 'projective_image': '1050.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301027
    {'ambient': '4200.o', 'aut_centralizer_order': 4480, 'aut_label': '600.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4480, 'centralizer': '2.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['120.a1.a1', '120.b1.a1', '120.c1.a1', '120.c1.b1', '200.a1.a1', '300.a1.a1'], 'contains': ['4200.a1.a1'], 'core': '600.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [795, 7645, 1320, 7626, 1631, 3652, 2256, 5890], 'generators': [600], 'label': '4200.o.600.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '600.a1.a1', 'normal_contained_in': ['120.a1.a1', '120.b1.a1', '200.a1.a1', '300.a1.a1'], 'normal_contains': ['4200.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '600.a1.a1', 'projective_image': '4200.o', 'quotient_action_image': '2.1', 'quotient_action_kernel': '300.21', 'quotient_action_kernel_order': 300, 'quotient_fusion': None, 'short_label': '600.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301028
    {'ambient': '4200.o', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '640.21478', 'aut_weyl_index': 42, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '21.a1.a1', '35.a1.a1', '35.b1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8577, -1, 9818, -1, 9163, -1, 8877, -1], 'generators': [15, 2520, 24, 30, 80, 60], 'label': '4200.o.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '70.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 60301029
    {'ambient': '4200.o', 'aut_centralizer_order': 13440, 'aut_label': '700.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13440, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['100.a1.a1', '140.a1.a1', '140.b1.a1', '140.c1.a1', '140.c1.b1', '350.a1.a1'], 'contains': ['1400.a1.a1', '2100.a1.a1'], 'core': '700.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4228, 3894, 4337, 4199, 3828, 5323, 4149, 4693], 'generators': [60, 80], 'label': '4200.o.700.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '700.a1.a1', 'normal_contained_in': ['100.a1.a1', '140.a1.a1', '140.b1.a1', '350.a1.a1'], 'normal_contains': ['1400.a1.a1', '2100.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '700.a1.a1', 'projective_image': '700.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '700.14', 'quotient_action_kernel_order': 700, 'quotient_fusion': None, 'short_label': '700.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301030
    {'ambient': '4200.o', 'aut_centralizer_order': 6720, 'aut_label': '840.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 6720, 'centralizer': '1.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['120.a1.a1', '168.a1.a1', '280.a1.a1', '420.a1.a1'], 'contains': ['4200.a1.a1'], 'core': '840.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2247, 7207, 2782, 8854, 2989, 2523, 3554, 7504], 'generators': [24], 'label': '4200.o.840.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '840.a1.a1', 'normal_contained_in': ['120.a1.a1', '168.a1.a1', '280.a1.a1', '420.a1.a1'], 'normal_contains': ['4200.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '840.a1.a1', 'projective_image': '840.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '840.7', 'quotient_action_kernel_order': 840, 'quotient_fusion': None, 'short_label': '840.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301031
    {'ambient': '4200.o', 'aut_centralizer_order': 6720, 'aut_label': '840.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': ['5.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['120.b1.a1', '168.a1.a1', '280.b1.a1', '420.b1.a1'], 'contains': ['4200.a1.a1'], 'core': '840.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2783, 9759, 1635, 7237, 2414, 4122, 3294, 6358], 'generators': [2520], 'label': '4200.o.840.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '840.b1.a1', 'normal_contained_in': ['120.b1.a1', '168.a1.a1', '280.b1.a1', '420.b1.a1'], 'normal_contains': ['4200.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '840.b1.a1', 'projective_image': '4200.o', 'quotient_action_image': '2.1', 'quotient_action_kernel': '420.12', 'quotient_action_kernel_order': 420, 'quotient_fusion': None, 'short_label': '840.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 60301032
    {'ambient': '4200.o', 'aut_centralizer_order': 1680, 'aut_label': '840.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['120.c1.a1', '168.a1.a1', '280.c1.a1', '420.c1.a1'], 'contains': ['4200.a1.a1'], 'core': '4200.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1844, -1, 689, -1, 2702, -1, 3035, -1], 'generators': [864], 'label': '4200.o.840.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '168.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '840.c1.a1', 'projective_image': '4200.o', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301033
    {'ambient': '4200.o', 'aut_centralizer_order': 1680, 'aut_label': '840.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['120.c1.b1', '168.a1.a1', '280.c1.b1', '420.c1.b1'], 'contains': ['4200.a1.a1'], 'core': '4200.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1844, -1, 2055, -1, 2702, -1, 2775, -1], 'generators': [2544], 'label': '4200.o.840.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '168.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '840.c1.b1', 'projective_image': '4200.o', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301034
    {'ambient': '4200.o', 'aut_centralizer_order': 13440, 'aut_label': '1050.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13440, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['150.a1.a1', '210.a1.a1', '210.b1.a1', '210.c1.a1', '210.c1.b1', '350.a1.a1', '525.a1.a1'], 'contains': ['2100.a1.a1'], 'core': '1050.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7280, 1991, 6971, 3063, 6424, 8143, 6944, 1881], 'generators': [30], 'label': '4200.o.1050.a1.a1', 'mobius_quo': 0, 'mobius_sub': -35, 'normal_closure': '1050.a1.a1', 'normal_contained_in': ['150.a1.a1', '210.a1.a1', '210.b1.a1', '350.a1.a1'], 'normal_contains': ['2100.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1050.a1.a1', 'projective_image': '1050.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1050.31', 'quotient_action_kernel_order': 1050, 'quotient_fusion': None, 'short_label': '1050.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301035
    {'ambient': '4200.o', 'aut_centralizer_order': 13440, 'aut_label': '1400.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13440, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['200.a1.a1', '280.a1.a1', '280.b1.a1', '280.c1.a1', '280.c1.b1', '700.a1.a1'], 'contains': ['4200.a1.a1'], 'core': '1400.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1441, 7990, 2154, 8077, 2127, 3182, 2515, 6827], 'generators': [80], 'label': '4200.o.1400.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '1400.a1.a1', 'normal_contained_in': ['200.a1.a1', '280.a1.a1', '280.b1.a1', '700.a1.a1'], 'normal_contains': ['4200.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1400.a1.a1', 'projective_image': '1400.43', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1400.43', 'quotient_action_kernel_order': 1400, 'quotient_fusion': None, 'short_label': '1400.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301036
    {'ambient': '4200.o', 'aut_centralizer_order': 26880, 'aut_label': '2100.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26880, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['300.a1.a1', '420.a1.a1', '420.b1.a1', '420.c1.a1', '420.c1.b1', '700.a1.a1', '1050.a1.a1'], 'contains': ['4200.a1.a1'], 'core': '2100.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4228, 3699, 4782, 5555, 4147, 5584, 4596, 4432], 'generators': [60], 'label': '4200.o.2100.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '2100.a1.a1', 'normal_contained_in': ['300.a1.a1', '420.a1.a1', '420.b1.a1', '700.a1.a1', '1050.a1.a1'], 'normal_contains': ['4200.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2100.a1.a1', 'projective_image': '2100.e', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2100.e', 'quotient_action_kernel_order': 2100, 'quotient_fusion': None, 'short_label': '2100.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301037
    {'ambient': '4200.o', 'aut_centralizer_order': None, 'aut_label': '4200.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['600.a1.a1', '840.a1.a1', '840.b1.a1', '840.c1.a1', '840.c1.b1', '1400.a1.a1', '2100.a1.a1'], 'contains': [], 'core': '4200.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1979, 7528, 2002, 7626, 2558, 3652, 3035, 6358], 'generators': [], 'label': '4200.o.4200.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '4200.a1.a1', 'normal_contained_in': ['600.a1.a1', '840.a1.a1', '840.b1.a1', '1400.a1.a1', '2100.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '4200.a1.a1', 'projective_image': '4200.o', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60301038
    {'ambient': '4200.o', 'aut_centralizer_order': 140, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1400', 'aut_weyl_index': 140, 'centralizer': '2.a1.a1', 'complements': ['525.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['24.a1.a1', '40.a1.a1', '40.b1.a1', '40.c1.a1', '40.c1.b1', '56.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1565, 8453, 1540, 8045, 1172, 2033, 1192, 8083], 'generators': [80, 2520, 600, 24], 'label': '4200.o.8.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['24.a1.a1', '40.a1.a1', '40.b1.a1', '56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '280.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}